Real-Life GCF Challenges for Grade 5 Students

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

• 24

• 12

2. A gardener is planting flowers in rows. If he has 18 red flowers and 30 yellow flowers, what is the GCF of the two amounts to determine how many rows he can plant?

• 12

• 9

• 3

• 6

3. Two friends are making gift bags. One has 40 candies and the other has 60 candies. What is the GCF of the candies to find out how many bags they can make with the same number of candies in each?

• 20

• 50

• 10

• 30

4. A teacher has 48 pencils and 72 erasers. What is the GCF of the pencils and erasers to find out how many groups of supplies she can make?

• 48

• 12

• 36

• 24

5. Emily is organizing her toy cars. She has 28 blue cars and 42 red cars. What is the GCF of the two amounts to see how many equal groups she can create?

• 21

• 14

• 28

• 7

6. A baker has 36 cookies and 48 cupcakes. What is the GCF of the cookies and cupcakes to determine how many trays he can fill with the same number of each treat?

• 12

• 24

• 18

• 6

7. In a school, there are 56 students in one class and 84 students in another class. What is the GCF of the two classes to find out how many teams can be formed with the same number of students?

• 21

• 14

• 28

• 42

8. A musician has 45 guitar strings and 60 violin strings. What is the GCF of the strings to find out how many sets of strings he can create?

• 30

• 10

• 15

• 20

9. A factory produces 90 toy cars and 120 toy trucks. What is the GCF of the toy cars and trucks to determine how many equal boxes can be filled?

• 15

• 45

• 30

• 60

10. A sports coach has 54 soccer balls and 72 basketballs. What is the GCF of the two amounts to find out how many equal teams can be formed?

• 18

• 36

• 24

• 12