Greatest Common Factor Word Problem

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

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?

• 4

• 2

• 48

• 8

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? 

• 3

• 18

• 9

• 27

At Chick-Fil-A, the kitchen staff baked 36 chicken sandwiches and 108 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?

• 36

• 9

• 12

• 16

Mrs. Paskins has 42 inches of purple ribbon and 18 inches of green ribbon. She needs to cut the ribbon into even pieces for an art project and doesn't want to have any left over. What is the greatest length of ribbon pieces that she could use?

• 2

• 3

• 5

• 6

Mandy is making emergency-preparedness kits to share with friends. She has 12 bottles of water and 16 cans of food, which she would like to distribute equally among the kits, with nothing left over. What is the greatest number of kits Mandy can make?

• GCF, 24 kits

• LCM, 4 kits

• GCF, 4 kits

• LCM, 24 kits

At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs and 144 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?

• 48

• 2

• 4

• 16

At Kentucky Fried Chicken, the kitchen staff baked 48 chicken legs, 16 thighs, and 64 wings. The staff had to prepare platters for a catered lunch at an office. Each platter will have the same number of legs, thighs, and wings. How many platters can the staff make if they want the greatest number of chicken pieces on each platter?

• 16

• 2

• 12

• 24

The cafeteria is making identical fruit baskets. They have 35 apples, 21 bananas, and 28 oranges. They want each basket to have the same numbers of each type of fruit. What is the greatest number of baskets they can make?

• 2

• 3

• 5

• 7

Match the following GCF to the Expression

• 2

• 5 and 5

• 9

• 9 and 81

• 5

• 4 and 2

• 7

• 8 and 72

• 8

• 21 and 28