GCF Word Problems: Find Common Factors in Real Life

1. Sarah has 24 apples and 36 oranges. What is the greatest common factor (GCF) of the number of apples and oranges she has?

• 6

• 18

• 12

• 24

2. A gardener is planting flowers in rows. He has 18 red flowers and 30 yellow flowers. What is the GCF of the two amounts of flowers?

• 12

• 9

• 3

• 6

3. Two friends are making gift bags. One has 40 candies and the other has 60 candies. What is the largest number of gift bags they can make if each bag has the same number of candies?

• 30

• 50

• 10

• 20

4. A teacher has 48 pencils and 72 erasers. What is the GCF of the number of pencils and erasers? How many groups can she make if each group has the same number of items?

• 24

• 12

• 36

• 48

5. A baker has 36 cookies and 54 brownies. What is the GCF of the cookies and brownies? How many boxes can he fill if each box has the same number of treats?

• 24

• 12

• 18

• 36

6. There are 56 students in a school and 84 chairs in the cafeteria. What is the GCF of the number of students and chairs? How many equal groups can be formed?

• 14, 4 groups

• 28, 2 groups

• 56, 1 group

• 42, 3 groups

7. A toy store has 45 toy cars and 75 toy trucks. What is the GCF of the toy cars and toy trucks? How many equal sets can be made?

• 20

• 10

• 15

• 30

8. Emily has 32 stickers and 48 stamps. What is the GCF of her stickers and stamps? How many equal collections can she create?

• 8

• 16

• 24

• 12

9. A music teacher has 60 music sheets and 90 songbooks. What is the GCF of the music sheets and songbooks? How many equal sets can she distribute?

• 45

• 15

• 60

• 30

10. A farmer has 18 cows and 27 sheep. What is the GCF of the cows and sheep? How many equal groups can he form?

• 6

• 18

• 12

• 9