Prime Factorization
Greatest Common Factor
Rewriting expressions using GCF and Distributive Property
Least Common Multiple
GCF and LCM Word Problems
100

What is the prime factorization of 32?

2 x 2 x 2 x 2 x 2 or 25

100
What is the greatest common factor of 12 and 15
3
100

Rewrite the expression using the GCF and Distributive Property.

55 + 20

5(11 + 4)

100
What is the least common multiple of 3 and 7?
21
100

Timer 1 is set to beep every 8 minutes. Timer 2 is set to beep every 6 minutes. How many times will they beep at the same time in 30 minutes?

1

200

What is the prime factorization of 102?

2 x 3 x 17

200
What is the greatest common factor of 24 and 20?
4
200

Rewrite the expression using the GCF and Distributive Property.

72 - 36

36 (2 - 1)

200
What is the least common multiple of 4 and 9?
36
200
You bring snacks for your basketball team every fifth game. Every third game is a home game. When will be the first time that you bring snacks to a home game?
15th game
300

What is the prime factorization of 59?

59

300
What is the greatest factor of 16 and 36?
4
300

Rewrite the expression using the GCF and Distributive Property.

54 + 45

9(6 + 5)
300

What is the least common multiple of 13 and 39?

39

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

What is the prime factorization of 87?

3 x 29

400
What is the greatest common factor of 64 and 80?
16
400

Rewrite the expression using the GCF and Distributive Property.

63+27

9(7+3)

400
What is the least common multiple of 20 and 12?
60
400
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
500

What is the prime factorization of 208?

2 x 2 x 2 x 2 x 13 OR 24 x 13

500
What is the great common factor of 50, 35, and 15?
5
500

Rewrite the expression using the GCF and Distributive Property.

88 - 40

8(11 - 5)

500
What is the least common multiple of 21 and 24?
168
500

Three pigs entered a race around a track. Piggly takes 12 minutes to run one lap. Piglet takes 6 minutes to run one lap and it takes Wiggly 16 minutes to run one lap. If all three pigs begin the race at the same time, how many minutes will it take for all three pigs to be at the starting point again?

48 minutes