Greatest Common Factor Word Problems
The greatest common factor of a given set of whole numbers is the largest whole number that divides each number in the set.

Eggs come in packages of 12 and English muffins come in packages of 10. What is the least number of packages of each that can be bought to be able to make egg sandwiches with no muffins or eggs left over?
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Ming has 15 quarters, 30 dimes and 48 nickels. He wants to group his money so that each group has the same number of each coin. What is the greates number of groups he can make? How many of each coin will be in each group? How much money will each group be worth?
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Find the GCF of the terms of the expression 3y^{2}+12
GCF word problems 6th grade

Greatest Common Factor of 12 and 30
Common Factors Word Problems

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Paul has three pieces of rope with lengths of 140 cm, 168 cm & 210 cm. He wishes to cut the three pieces of rope in to smaller pieces of equal length with no remainders. What is the greatest possible length of each of the smaller pieces of rope? How many of the smaller pieces of rope of equal length can he get altogether?
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What are the two common factors of 48 and 63?
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the qutotient is 45 1/4 what is the divisor?
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Bettina bought 75 pieces of cupcakes and 50 pieces of bottled water. What is the greatest amount of bottled water and cupcakes placed in each paper bag?
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a warehouse has three shelves that can hold 8,12,or 16 skateboards. each shelf has sections holding the same number of skatebourds. what is the greatest number of skatebourds that can be put in a section? explain
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The Math Club members are preparing identical welcome kits for the sixthgraders.They have 60 pencils and 48 memo pads.What is the greatest nymber of kits they can prepare using all of the pevcils and memo pads?
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Olivia`s 6 cousins are coming for a visit. She bakes 2 1/2 dozen sugar cookies and 4 dozen oatmeal raisin cookies. If she wants each cousin to recieve an equal number of each kind of cookie, how many oatmeal raisin cookies will they get? How many sugar cookies will they get?
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phillip is thinking of a number that is less than 20 and has three factor pairs Phillip also says that if he adds together the factors in the factor pair he gets 19, 11, and 9. What is Phillip`s number? Explain how you found your answer.
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Jordan and manuel is on the trackandfield team at the school.running around the track one day,jordan ran 444 m and manuel ran 777 m.they both ran a whole numbers of times around the track.how far around is the track?
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a warehouse has three shelves that can hold 8,12, or 16 skateboards.each shelf has sections holding the same number of skateboards what is the greatest number of skateboards that can be put in a section?explain.
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there are 40 freshman, and 24 sophmores. They have to divide them into teams if there are same number of freshman and sophmores in each team how many teams ?
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Dave has tennis practice every 6 days and guitar lessons every 8 days. If he had both tennis practice and guitar lessons today, how many times in the next 60 days will he have both tennis practice and guitar lessons on the same day? ( not counting today)
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what is the GCF of 100 and 116
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The Massive System of Transportation in Bogota is called “Transmilenio”; it is operated by red buses that run by special roads using stations similarly to subway´s. The routes are called by letters and numbers. There is a station where the route G5 pass each 6 minutes and the route G12 pass each 12 minutes. If both routes past at 10 o´clock, at what time are they going to pass both by that station again?
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Janice has three CD storage cases that can hold 18, 36, and 64 CD`s. The cases have sections holding the same number of CD`s. What is the greatest number of CD`s in a section?
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There are 15 boys and 12 girls in a classroom. For a class trip, they need to be split up into the largest possible even groups. How many groups are there and how many people per group?
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The Coverall Paint Company wants to sell paint in can sizes that most people would use up completely. The company has found out that most people paint wall surfaces of 300m2, 450m2, or 600m2. How many square metres of wall surface should the paint in their largest can cover?
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A teacher has 28 nails,98 bolts,and 42 washers.She wants to divide them so that each portion has an equal number of nails,bolts and washers.What is the maximum number of portions she can make?
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sides of square are lengthened by 8cm, the area becomes 256cm^2. Find the length of a side of the original square
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there are 15 apples on the tree and 5 on the other what is the greatest common factor of the trees
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There are 40 girls and 32 boys who want to participate in the relay race. If each team must have the same number of girls and boys, what is the greatest number of teams that can race? How many boys and girls will be on each team?
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You made 63 wheat dinner rolls, 45 rye dinner rolls, and 54 sourdough dinner rolls for a family picnic. You want to make up plates of rolls to set on the picnic tables. If each plate is to contain the same amount of each type of roll, and there are no left over rolls, what is the greatest number of plates that can be made? How many wheat dinner rolls, rye dinner rolls, and sourdough dinner rolls are there on each plate?
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Each student in Beginning Orchestra tried each type of instrument. The tryout period was the same length for each student, but different for each type of instrument. By the time everyone had tried each type, a total of 217 minutes had been logged for percussion instruments, 93 minutes for strings, and 155 minutes for horns. How many students are in the class? What is the length of the tyout period for each of the three types of instruments?
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the GCF is 2. The LCM of two numbers is 24. The numbers differ by 2. What are the numbers?
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The sum of the squares of two consecutive negative even integers is 100. Find the integers.
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What is the greatest number that can be left over in a division problem?
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Find the two numbers between 100 and 150 which have 24 gcf.
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there was 33 cookies. the employes want to sell them to the eqyual amount of people. sandy had 10 cookies and bob hadt 23 more cookies. how many people can they give cookies to, to make a equal amount
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Carry has 3 CD storage cases that can hold 12, 24, and 60 CDs. The cases have sections holding the same number of Cds. What is the greatest number of Cds in each section?
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Volunteer at a bake sale want to sell slice of banana nut bread and raisin bread packaged together. They have 63 slices of banana nut bread and 45 slices of raisin bread, and they plan to use all the bread. What is the greatest number of packages they can put together? How many slices of each type of bread are in a package?
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40 girls and 32 boys who want to
6th grade gcf word problem

mr.mcgoldricks has 54 pieaces of reeses and 36 cups of soda share with his frirnd
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Two even numbers have a greatest common factor of 150. Find the smallest such numbers so that enither is a factor of the other.
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Ming has 15 quarters , 30 dimes, and 48 nickels. he wants to group his money so that each group has the same number of each coin. how many of each coin will be in each group? what is the greatest nummber of groups he can make?
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Rebecca has 20 table tennis balls and 16 table tennis paddles. She wants to sell packages of balls and paddles bundled together. What is the greatest number of packages she can sell with no leftover balls or paddles?
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Mrs. Tawney bought some Girl Scout Cookies to share with her students. There are 18 Thin Mint cookies and 36 Tagalong cookies. What is the greatest number of students she can give cookies to if each student gets an equal number of each type of cookie?
a greatest common factor word problem for 24

sarim has $1 in coins. onefifth of the coins are dimes, twofifteenths are nickels, and twothirds are pennies. Tell how many of each coin he has.
Greatest Common Denominator problem solving

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the lesser of 2 numbers is a factor of the greater number. what can be said about the greatest common factor


The GCF of two numbers is 850. Neither number is divisible by the other. What is the smallest that these two numbers could be?


The GCF of two numbers is 850. Neither number is divisible by the other. What is the smallest that these two numbers could be?

Brandon and carlos are members of the high school track team. They run different events; both events are multiple laps. At a recent track meets, carlos` 3rd place time for his event was 8 minutes and 32 seconds. Coincidentally, carlos` lap time was exactly twice as long as Brandon`s. Find their lap times  they both greater than 30 seconds. (Hint: convert time to second first)

a choir director in a certain school wants to divide the choir into smaller groups. there are 16 sopranos 40 altos and 24 tenors. each group will have the same number of each type of voice. what is the greatest number of groups that can be formed?

The gcf of two numbers is 871. B and neither is divisible by the other. What is the smallest that the numbers could be?oth numbers are even

Elizabeth has three cd storage cases that can hold 16, 24, and 32 cds. The cases hae sections holding the same number of cds. What is the greatest number of cds in a section?



Vir, a custume designer has 36 bb, 27 pb, and 18 bcb she must use to create costumes. what is the largest number of costumes she can make without having aany buttons left over?

three volunteers patrol a certain area every 20, 40 and 60 minutes respectively. If they start together at 6:00pm at what time will they patrol again at the same time?

greatest common factor of 09 and 324

Janice has three CD storage cases that can hold 18,36,and 64 CD\`s. The have sections holding the same number of CD\`s. What is the greatest number of CD\`s in a section?

a choir director at your school wants to divide the choir into smaller groups. there are 24 sopranos, 60 altos,and 36 tenors. each group will have the same number of each type of voice. what is the greatest number of groups that can be formed?

Ellen pours onehalf of tea from a pot. Juanita pours onethird of the remaining tea and leaves fourcups of tea in the pot. How many cups of tea were orignially in the pot?

a warehouse has three shelves that can hold 8,12,16 skateboards. Each shelf has sections holding the same number of skateboards. What is the greatest number of skateboards that can be put in a section? Explain.


mang tony gathered 60 eggs in the morning and 90 eggs in the afternoon. he wants to put them in trays such that there are equal number of eggs in each trays. what is the greatest number of eggs that each trays will contain?

Rebecca has 20 table tennis balls and 16 table tennis paddles. She wants to sell packages of balls and paddles bundled together. What is the greatest number of packages she can sell with no leftover balls or paddles?

The greatest common factor (GCF) of two numbers is 850. Neither number is divisible by the other. What is the smallest these two numbers can be?


Two times a number plus the square of the number equals 48. Find the number.

What is the greatest common factor for 12 and 54?


What is the greatest common factor of 20 and 50?

What is the greatest common factor of 48 and 63?


Find the greatest number which divides 6168, 2447 and 3118 leaving the same remainder in each case?

The greatest common factor of two numbers is 30. Their least common multiple is 420. One of the numbers is 210. What is the other number?

What number is a factor of 48?

The GCF of two numbers is 479. One number is even and the other number is odd. Neither number is divisible by the other. What is the smallest that these two numbers could be?



ms. favorite`s class purchased 45 pencils and 30 erasers to put in care packages. They want each package to contain the same number of pencils and the same number of erasers. What is the greatest number of packages they can make?

I have 300 strawberries and 60 bananas to make shakes. I want to use all of the fruit. How many equal whole bananas and whole straberries will I need to make the greatest number of shakes?


bob at a pie and forgot to do his homework?

the GCF of two numbers is 871. Both numbers are even and neither is divisible by the other.What is the smallest that these two numbers could be?

There are 36 cookies, 30 brownies, and 42 cupcakes. Each have to be sperated evenly into a basket. Which ones go in which baskets?

one possible formation for the 48 member of the grade 6 band is shown.draw all possible formation of the grade 6 band

preparing identical backpacks with 32 maps and 24 dictionaries what is the greatest number of backpacks that can be made? Thanks

packing identical backpacks with 32 maps and 24 dictioanries what is the greatest number of backpacks

6 30 list the factor of each number. list the common FACTORS OF BOTH NUMBERS

the gcf of two numbers is 4 one of the numbers is 36 find the other number that is between.


volunteers at a bake sale want to sell slices of banana nut bread and raisin bread packaged together. They have 63 slices of banana nut bread and 45 slices of raisin bread, and plan to use all the bread. What is the greatest number of packages they can put together? How many slices of each type of bread are in a package?


Janice has three CD storage cases that can hold 18, 36, and 64 CD\`s. The cases have sections holding the same number of CD\`s. What is the greatest number of CD\`s in a section?

there are 36 sixth graders and 40 seventh graders. what is the greatest number of teams that the students can form if each team has the same number of sixth graders and the same number of seventh graders and every student must be on a team?

The greatest common factor of two numbers is 30. Their least common multiple is 420. One of the numbers is 210.

A college class with 30 sophomores, 18 juniors, and 12 seniors is divided into project groups where each group has the same number of sophomores, juniors, and seniors. What is the greatest number of groups that can be formed? How many sophomores, juniors, and seniors are in each project group?

7TH & 8TH GRADE CLASS IS PLANNING A DINNER. THERE ARE 168 STUDENTS IN THE 7TH GRADE & 112 STUDENTS IN THE 8TH GRADE. EACH GRADE SITS IN A DIFFERENT ROOM. HOW MANY CHAIRS ARE NEEDED IN EACH ROOM IF THE TOTAL NUMBER OF TABLES PER ROOM CANNOT EXCEED 15 AND THE TOTAL NUMBER OF CHAIRS PER TABLE CANNOT EXCEED 15. EACH TABLE IN EACH ROOM SHOLD HAVE THE SAME NUMBER OF CHAIRS

Janice has three CD storage cases that can hold 18,36,and 64 CD`s. The have sections holding the same number of CD`s. What is the greatest number of CD`s in a section?

The length of a rectangle is 7 ft greater than the width. The area is 60ft^2. Find the length and width.

A choir director at your school wants to divide the choir into smaller groups. There are 24 sopranos, 60 altos, and 36 tenors. Each group will have the same number of each type of voice.

Twelve more than the square of a number is seven times the number. Find the number.

Find two pairs of numbers that have the given greatest commo factor. (There are many correct answers.) 1. 5 2. 3 3. 12

Carolyn has 24 bottles of shampoo, 36 tubes of hand lotion, and 60 bars of lavender soap to make gift baskets. She wants to have the same number of each item in every basket. What is the greatest number of baskets she can make without having any of the items left over?

what is the greatest common factor of 63

a warehouse has three shelves that can hold 8, 12, 16 skateboards. each shelf has sections holding the same number of skateboards. what is the greatest number of skatboards that can be put in a section?

The GCF of two numbers is 871. Both numbers are even and neither is divisible by the other. What is the smallest that these two numbers could be?

tia made 50 cupcakes and 160 cookies for a bake sale. she put the items in packages with an equal number of cupcakes and cookies. How many packages did she make? What was in each package?

Suppose that in some distant part of the universe that a star with four orbiting planets.One planet makes a trip around the star in 6 years, the second planet 9 years, the third takes 15 years, and the fourth takes 28 years. How many years will it take before the planets return to the normal position.

Three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length. What is the greatest possible length of each plank ?

The gcf of two numbers is 850. Neither is divisible by the other. What is the smallest that these two numbers could be?

The greatest of two numbers is 850. neither number is divisible by the other. What is the smallest that these two numbers could be?

I am planting 50 apple trees and 30 peach trees.I want the same number and type of trees per row.What is the maximum number of trees i can plant per row?

The width of a rectangle is 6 inches less than twice its length. Find the dimension of the rectangle if its area is 108 square inches.

Find 3 factors of 240 whose difference is 1.



Brandon and carlos are members of the high school track team. They run different events; both events are multiple laps. At a recent track meets, carlos\` 3rd place time for his event was 8 minutes and 32 seconds. Coincidentally, carlos\` lap time was exactly twice as long as Brandon\`s. Find their lap times  they both greater than 30 seconds. (Hint: convert time to second first)

The greatest common factor of two numbers is 850



The greatest common factor of a number and 48 is 24. The sum of the numbers digits is 15. find the number




A warehouse has three shelves that can hold 8, 12, or 16 skateboards. Each shelf has sections holding the same number of skateboards. What is the greatest number of skateboards that can be put in a section?


THE GCF OF 2 NUMBERS IS 850. NEITHER NUMBER IS DIVISIBLE BY THE OTHER.WHAT IS THE SMALLEST THAT THESE TWO NUMBERS COULD BE?

the largest factor that numbers share

A piece of paper is 280 milllilmeters long and 200 milllimeters wide. You want to draw a grid on the paper so that there is a whole number of squares on the paper. What are the possible sizes of the squares? What is the largest possible square?

The greatest common factor of two numbers is 871. Both numbers are even and neither is divisible by the other. What is the smallest that these two numbers could be?

There are 100 senators and 435 representatives in the United States Congress. How many identical groups could be formed from all the senators and representatives?

A choir director at your school wants to divide the choir into smaller groups. There are 24 sopranos, 60 altos, and 36 tenors. Each group will have the same number of each type of voice. A. What is the greatest number of groups that can be formed? B. How many sopranos altos and tenorn will be in each group? C. How many possible groups could be formed with equal numbers of each type of voice?


The greast common factor for 16 and 24


If Mary inspect every sixteenth calculator and Nancy inspects every thirtysixth calculator, which calculator will be the first that they both inspect?

Find two consecutive negative integers that have a product of 90.

You made 63 wheat dinner rolls, 45 rye dinner rolls, and 54 sourdough dinner rolls for a family picnic. You want to make up plates of rolls to set on the picnic tables. If each plate is to contain the same amount of each type of roll, and there are no leftover rolls,what is the greatest number of plates that can be made? how many wheat dinner rolls, rye dinner rolls, and sourdough dinner rolls are on each plate?



A college class with 30 sophmores,18 juniors and 12 seniors is divided into project groups where each group has the same number of sophomores,juniors,and seniors. What is the greatest number of groups that can be formed?how many sophomores,juniors,and seniors are in each project group.

phillip is thinking of a number that is less than 20 and has three factor pairs Phillip also says that if he adds together the factors in the factor pair he gets 19, 11, and 9. What is Phillip\`s number? Explain how you found your answer.

Two bicycles enthusiasts are leaving Cincinnati at the same time. One is biking 840 miles to Boston, The other is biking 440 miles to Atlanta. What is the greatest number of miles a day can cover equal distances each day?

Demand for pools. Tropical Pools sells an aboveground model for p dollars each. The monthly revenue for this model is given by the formula R(p)=0.08p^2+300p Revenue is the product of the price p and the demand (quantity sold). a) Factor out the price on the righthand side of the formula. b) Write a formula D(p) for the monthly demand. c) Find D(3000). d) Use the accompanying graph to estimate the price at which the revenue is maximized. Approximately how many pools will be sold monthly at this price? e) What is the approximate maximum revenue? f) Use the accompanying graph to estimate the price at which the revenue is zero.

16 boys and 12 girls. Greatest number of teams possible with the same number of boys and girls on each team. How many teams were made up if each person was on a team? How many girls on each team? How many boys on each team?