Greatest Common Factor Word Problems

Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?

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• 2
• 48
• 8

Lisa is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?

• 2
• 12
• 36
• 6

Andrew has 18 oranges and 27 pears.  He wants to make fruit baskets with the same number of each fruit in each basket.  What is the greatest number of baskets he can make? 

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• 18
• 9
• 27

At Chick-Fil-A, the kitchen staff baked 24 chicken sandwiches and 56 spicy chicken strips. The staff had to prepare lunches for Fernwood MS. If each lunch will have the same number of sandwiches and strips, what is the greatest number of lunches they can make?

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• 15

• 12

• 16

Jeremy has two pieces of wood:  one is 90 inches and the other is 72 inches. He wants to cut both pieces into smaller pieces of the same length.  What is the longest possible length he can cut and not have any lumber left over?

• 9
• 2
• 18
• 72

There are 56 girls and 49 boys. 
The choir teacher plans to arrange the students in equal rows.
Only girls or boys will be in each row (no mixing of girls and boys in the same row). What is the greatest number of students that could be in each row?

• 8
• 6
• 7

• 12

Steven is making identical balloon arrangements for a party. He has 32 maroon balloons, 24 white
balloons, and 16 orange balloons. He wants each arrangement to have the same number of each
color. What is the greatest number of arrangements that he can make if every balloon is used?

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• 2
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• 8

Izzy is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?

• 2
• 12
• 36
• 6

Autumn had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?

• 4
• 2
• 48
• 8

At Kentucky Fried Chicken, the kitchen staff baked 108 chicken legs and 54 thighs.  The staff had to prepare platters for an office lunch.  If each platter will have the same number of legs and thighs, what is the greatest number of platters they can make?

• 9

• 2
• 4
• 16