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Factors/Multiples/
Prime Factorization
Greatest Common Factor
Least Common Multiple
Word Problems
100
List all of the factors of 32.
1, 2, 4, 8, 16, and 32
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

Patty has two pieces of yarn, one 12 feet long and the other 18 feet long. For a craft project, she wants to cut them up to produce many pieces of yarn that are all of the same length, with no yarn left over. What is the greatest length, in feet, that she can make them?

6 feet

200

List the firsts 3 multiples of 6.

6, 12, 18

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
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
List all of the common factors of 12 and 20.
1, 2, and 4
300
What is the greatest factor of 16 and 36?
4
300

What is the least common multiple of 3 and 5?

15
300

Derek and Riley are training for a marathon. Derek runs 4 kilometers at a time while Riley prefers to run in blocks of 8 kilometers. At the end of a month, they realize that they have run same total number of kilometers. What is the smallest number of kilometers that each must have run?

8

400

What is the prime factorization of 18?

2 x 3 x 3

400

What is the great common factor of 50 and 40?

10
400
What is the least common multiple of 20 and 12?
60
400

Bridget has two pieces of ribbon, one 45 inches long and the other 36 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them?

9

500

What is the prime factorization of 24?

2 x 2 x 2 x 3

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

Dirk's Apparel sells undershirts in packs of 11. The store's competitor, Gabe's Basics, sells undershirts in packs of 2. If both stores sold the same number of undershirts yesterday, what is the smallest number of undershirts each could have sold?

22