GCF Word Problems: Finding Factors for Equal Groups

Liam has 24 apples and 36 oranges. He wants to pack them into boxes with the same number of fruits in each box. What is the greatest number of boxes he can use?

• 6

• 18

• 12

• 30

A gardener has 18 red flowers and 30 yellow flowers. He wants to plant them in rows with the same number of flowers in each row. What is the greatest number of rows he can create?

• 12

• 4

• 6

• 9

Two friends are making gift bags. One has 40 candies and the other has 60 candies. What is the greatest number of identical gift bags they can make without any candies left over?

• 50

• 30

• 20

• 10

A teacher has 28 pencils and 42 erasers. She wants to distribute them equally among her students. What is the greatest number of students she can give the same number of pencils and erasers?

• 14

• 28

• 7

• 21

A baker is making two types of cookies. He has 48 chocolate chips and 72 oatmeal chips. What is the greatest number of cookie batches he can make using the same number of each type of chip?

• 12

• 36

• 24

• 48

Sarah has 56 stickers and 84 stamps. She wants to create sets with the same number of items in each set. What is the greatest number of sets she can make?

• 28

• 42

• 14

• 56

A toy store has 32 teddy bears and 48 toy cars. If they want to display them in groups with the same number of toys in each group, what is the greatest number of groups they can create?

• 16

• 12

• 8

• 24

A music teacher has 45 recorders and 60 flutes. She wants to form groups with the same number of instruments in each group. What is the greatest number of groups she can form?

• 30

• 20

• 10

• 15

In a library, there are 36 fiction books and 48 non-fiction books. If the librarian wants to arrange them in shelves with the same number of books on each shelf, what is the greatest number of shelves she can use?

• 6

• 12

• 24

• 18

A farmer has 54 apples and 90 oranges. He wants to pack them into crates with the same number of fruits in each crate. What is the greatest number of crates he can fill?

• 24

• 12

• 18

• 36