Mastering GCF: Word Problems for 6th Graders

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

• 12

• 18

• 6

• 24

2. A recipe calls for 18 cups of flour and 30 cups of sugar. What is the GCF of the two amounts, and how can it help simplify the recipe?

• 24

• 36

• 12

• 6

3. Tom has 42 marbles and 56 toy cars. If he wants to group them into sets of equal size, what is the largest number of items he can have in each set?

• 14

• 28

• 21

• 35

4. A gardener has 48 red flowers and 60 yellow flowers. What is the GCF of the two amounts, and how can it be used to create equal bouquets?

• 12

• 10

• 15

• 20

5. Lisa is making gift bags with 20 candies and 30 stickers. What is the GCF of the two numbers, and how can she use it to make the bags equal?

• 5

• 25

• 10

• 15

6. There are 15 students in one class and 25 students in another. What is the GCF of the two class sizes, and how can it help in organizing a joint activity?

• 20

• 15

• 5

• 10

7. A baker has 36 cookies and 48 brownies. What is the GCF of the two amounts, and how can it help him package them equally?

• 24

• 6

• 18

• 12

8. Mark has 18 pencils and 27 erasers. What is the GCF of the two numbers, and how can it assist him in distributing them evenly?

• 6

• 12

• 15

• 9

9. A teacher has 30 notebooks and 45 pens. What is the GCF of these two supplies, and how can it help in organizing classroom materials?

• 25

• 15

• 20

• 10

10. Emily has 60 stickers and 90 stamps. What is the GCF of the two amounts, and how can it be used to create equal sets for her friends?

• 15

• 30

• 45

• 60