Greatest Common Factor
Least Common Multiple
Word Problems
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. How many times will they beep at the same time in 30 minutes?
1
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
What is the great common factor of 50, 35, and 15?
5
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

400
What is the greatest factor of 16 and 36?
4
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 again?

48 minutes

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 give to his friends at school. He wants to divide the cookies so that each bag has the same number of each kind of cookie. If he wants each bag to have the greatest number of cookies possible, how many bags does he need?

12 plastic containers

M
e
n
u