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.

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

Oscar needs to ship 14 rock CDs, 12 classical CDs, and 8 pop CDs. He can pack only one type of CD in each box and he must pack the same number of CDs in each box. What is the greatest number of CDs Oscar can pack in each box?

He can pack 2 CDs in each box

200

List all of the common factors betweeen 12 and 20.

1, 2, and 4

200

List 3 common multiples between 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

I want to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in my garden. If I put the same number of plants in each row and each row has only one type of plant, what is the greatest number of plants I can put in one row? 

He can put 9 in each row

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

Cups are sold 6 to a package and plates are sold 8 to a package. If you want to have the same number of each item for a party, what is the least number of packages of each you need to buy? 

He needs to buy 24 of each (4 packs of cups and 3 packs of plates)

400
List all of the factors of 52.
1, 2, 4, 13, 26, and 52
400

List 4 multiples of 7

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

At the gym, Hillary swims every 6 days, runs every 4 days and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities again on the same day?

In 48 days she will do all three on the same day

500

List all of the common factors between 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
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