Finding the Greatest Common Factor in Fun Scenarios

Sarah has 24 apples and 36 oranges. She wants to pack them into boxes with the same number of fruits in each box. What is the greatest number of fruits she can put in each box?

• 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 flowers he can plant in each row?

• 10

• 8

• 4

• 6

Tom has 42 marbles and 56 toy cars. He wants to organize them into groups with the same number of items in each group. What is the greatest number of items he can have in each group?

• 21

• 35

• 28

• 14

A teacher has 48 pencils and 60 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?

• 15

• 12

• 20

• 10

Lisa is making gift bags with 20 candies and 30 stickers. She wants to put the same number of candies and stickers in each bag. What is the greatest number of bags she can make?

• 25

• 5

• 10

• 15

A baker has 36 cupcakes and 48 cookies. He wants to arrange them on trays with the same number of each type of treat on each tray. What is the greatest number of treats he can put on each tray?

• 6

• 18

• 12

• 24

In a library, there are 45 fiction books and 75 non-fiction books. The librarian wants to arrange them into shelves with the same number of books on each shelf. What is the greatest number of books per shelf?

• 60

• 30

• 45

• 15

A sports coach has 54 soccer balls and 72 basketballs. He wants to divide them into teams with the same number of balls for each team. What is the greatest number of balls he can give to each team?

• 24

• 36

• 18

• 12

Emily has 30 red balloons and 45 blue balloons. She wants to tie them into bouquets with the same number of each color. What is the greatest number of bouquets she can create?

• 15

• 25

• 20

• 10

A musician has 60 guitar strings and 90 violin strings. He wants to package them into sets with the same number of strings in each set. What is the greatest number of strings he can include in each set?

• 30

• 45

• 15

• 75