Factors
Multiples
Greatest Common Factor
Least Common Multiple
Word Problems
100

List all of the factors of 32.

1, 2, 4, 8, 16, and 32

100

List 3 multiples of 8 that are less than 50.

8, 16, 24, 32, 40, 48

100

What is the greatest common factor of 12 and 15

3

100

What is the least common multiple of 3 and 7?

21

100

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school.  She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie.  If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need?

6

200

List all of the common factors of 12 and 20.

1, 2, and 4

200

List 3 common multiples of 2 and 6.

6, 12, 18, 24, 30, 36, 42, 48, etc.

200

What is the greatest common factor of 24 and 20?

4

200

What is the least common multiple of 4 and 9?

36

200

Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall.  What is the shortest height at which the two stacks will be the same height?

36 inches

300

List all of the factors of 42.

1, 2, 3, 6, 7, 14, 21, 42

300

List all the common multiples of 6 and 8 that are less than 50.

24 and 48

300

What is the greatest factor of 16 and 36?

4

300

What is the least common multiple of 2, 3, and 5?

30

300

Sarah is making bead necklaces. She has 60 blue beads and 72 green beads. What is the greatest number of identical necklaces she can make if she wants to use all the beads?

6

400

List all of the factors of 52.

1, 2, 4, 13, 26, and 52

400

List 4 multiples of 7 greater than 10 but less than 50.

14, 21, 28, 35, 42, 49

400

What is the great common factor of 50, 35, and 15?

5

400

What is the least common multiple of 20 and 12?

60

400

Beginning at 8:30 A.M., tours of the National Capitol and the White House begin at a tour agency. Tours for the National Capitol leave every 15 minutes. Tours for the White House leave every 20 minutes.  How often do the tours leave at the same time?

60 minutes

500

List all of the common factors of 24 and 36.

1, 2, 3, 4, 6, 12

500

List all the common multiples of 12 and 18 that are less than 75.

36 and 72

500

What is the greatest common factor of 64 and 80?

16

500

What is the least common multiple of 21 and 24?

168

500

Johnny baked 36 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for his teacher friends at school. He wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If he wants each container to have the greatest number of cookies possible, how many plastic containers does he need?

12 plastic containers