Greatest Common Factor and Least Common Multiple Review

What is the greatest common factor between 8 and 4?

• 8

• 16

• 4

• 1

What is the LCM (least common multiple) of 12 and 3?

• 24

• 36

• 3

• 12

What is the LCM (least common multiple) of 10 and 4?

• 20

• 40

• 14

• 2

What is the LCM (least common multiple) of 7 and 4?

• 42

• 14

• 28

• 11

What is the greatest common factor of 27 and 45?

• 9

• 3

• 45

• 135

What is the least common multiple of 9 and 12?

• 108

• 36

• 12

• 3

Jamie has 48 notebooks and 36 pencils. He wants to make packages to send to his cousins. Each package must have the same number of notebooks and pencils. What is the greatest number of packages that Jamie could make?

• 4

• 9

• 12

• 2

Nancy wrote the following steps to find the greatest common factor of 24 and 56.

 

Step 1: List the factors of 56: 1, 2, 4, 7, 14, 28, and 56.

Step 2: List the factors of 24: 1, 2, 3, 4, 6, 8, 12, and 24.

Step 3: List the common factors of 56 and 24: 1, 2, and 4.

Step 4: Find the greatest common factor: 4.

 

Which statement is true?

• Nancy made a mistake. Nancy forgot to include 8 as a factor of 56, so the greatest common factor is 8 not 4.

• Nancy incorrectly listed the multiples instead of factors. The greatest common factor is 88 not 4.

What is the least common multiple of 8 and 16?

• 32

• 48

• 16

• 64

Find the greatest common factor for 24 and 32.

• 1

• 4

• 16

• 8