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 the next three multiples of 8 after 32. 

40, 48, 56

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

Timer 1 is set to beep every 8 minutes. Timer 2 is set to beep every 6 minutes. If they start at the exact same time, how many times will they beep at the same time again within 30 minutes?

1 time! (If they start at the same time, the next time they'll beep together again is after 24 minutes.  There is only one common multiple of 6 and 8 that is less than 30)

200
List all of the common factors of 12 and 20.
1, 2, and 4
200

List three common multiples of 2 and 6.

6, 12, 18, 24, 30, 36, 42, 48, etc. (you only need three)

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 (15 is the least common multiple of 3 and 5)

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 common 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?

12 necklaces (12 is the GCF of 60 and 72. Which means each identical necklace will have 5 blue beads and 6 green beads)

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

List four multiples of 7 that are greater than 10 but less than 50.

14, 21, 28, 35, 42, 49 (you only need four)

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

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 together again?

48 minutes (48 is the LCM of 6,12, and 16.  Think of the planet problem.) 

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. What is the greatest number of plastic containers he will need to split the cookies evenly?

12 plastic containers (12 is the GCF of 36 and 48. Which means that each container will have 3 oatmeal cookies and 4 CC cookies)

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