Factors & Multiples
Greatest Common Factor
Least Common Multiple
GCF & Distributive Property
Word Problems
100

Find the factors of 12.

1, 2, 3, 4, 6, 12

100

Find the GCF of 8 and 12.

4

100

Find the LCM of 3 and 4.

12

100

Rewrite 6 + 12 using the GCF and the Distributive Property.

6(1 + 2)

100

Sarah is making gift bags with 12 stickers and 18 erasers. She wants to make sure each bag has the same number of stickers and erasers. What is the greatest number of gift bags she can make?

The greatest number of gift bags Sarah can make is 6 (GCF of 12 and 18).

200

List the first 5 multiples of 4.

 4, 8, 12, 16, 20

200

Find the GCF of 9 and 15.

3

200

Find the LCM of 6 and 8.

24

200

Rewrite 8 + 16 using the GCF and the Distributive Property.

8(1 + 2)

200

Timmy has two pieces of string for an art project: one is 10 inches long and the other is 15 inches long. He wants to cut them into equal-length pieces with no leftover string. What is the longest length he can cut?

The longest length Timmy can cut is 5 inches (GCF of 10 and 15).

300

Find the factors of 36.

1, 2, 3, 4, 6, 9, 12, 18, 36

300

Find the GCF of 18 and 24.

6

300

Find the LCM of 10 and 15.

30

300

Rewrite 18 + 27 using the GCF and the Distributive Property.

9(2 + 3)

300

A group of 8 friends and 12 family members are going on a trip. If they want to ride in vans that can hold the same number of people, what is the least number of people per van?

The least number of people per van is 24 (LCM of 8 and 12).

400

List the first 5 multiples of 7.

7, 14, 21, 28, 35

400

Find the GCF of 28 and 42.

14

400

Find the LCM of 9 and 12.

36

400

Rewrite 24 + 36 using the GCF and the Distributive Property.

12(2 + 3)

400

Alex has 15 oranges and 20 apples for the school fruit sale. He wants to divide them into bags with the same number of each fruit. What is the greatest number of bags he can make?

The greatest number of bags Alex can make is 5 (GCF of 15 and 20).

500

Find the factors of 72.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

500

Find the GCF of 36 and 60.

12

500

Find the LCM of 14 and 21.

42

500

Rewrite 42 + 56 using the GCF and the Distributive Property.

14(3 + 4)

500

A farmer has 36 apple trees and 48 cherry trees. He wants to plant these trees in equal rows, with the same number of trees in each row. What is the greatest number of trees he can plant in each row, and how many rows will he have for each type of tree?

He can plant 12 trees in each row. For the apple trees, he will have 3 rows, and for the cherry trees, he will have 4 rows. 12(3 + 4)