Prime Factorization
GCF
LCM
Word Problems
100
The prime factorization of 78.
What is 2 x 3 x 13?
100
The GCF of 6 and 15.
What is 3?
100
The LCM of 12 and 15.
What is 60?
100

The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?

24 days

200
The prime factorization of 144.
What is 2 x 2 x 2 x 2 x 3 x 3?
200
The GCF of 18 and 27.
What is 9?
200

The LCM of 18 and 27.

What is 54?

200

Lisa is making activity baskets to donate to charity. She has 12 coloring books, 24 markers, and 36 crayons. What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets? How many of each supply will go into the baskets?

12 baskets; 1 coloring book, 2 markers, 3 crayons

300
The prime factorization of 96.
What is 2 x 2 x 2 x 2 x 2 x 3?
300
The GCF of 26 and 65.
What is 13?
300
The LCM of 16 and 32.
What is 32?
300

Caleb has baseball practice every four days and football practice every six days.  If he has both baseball practice and football practice on the same day, how many more days until he will have baseball practice and football practice on the same day again?

12 days

400
The prime factorization 95.
What is 5 X 19?
400
The GCF of 60 and 25.
What is 5?
400
The LCM of 25 and 40.
What is 200?
400

Justin bought equal amounts of individual Starbursts and Snickers at the store.  The Starbursts come in packages of 16.  The Snickers come in packages of 20.  What is the smallest number of individual Snickers that he could have bought? How many packages of Snickers did he buy?

80 snickers; 4 packages

500
The prime factorization of 156.
What is 2 x 2 x 3 x 13?
500
The GCF of 64, 84, and 120.
What is 4?
500
The LCM of 15, 22, and 30.
What is 330?
500

Katie is making party bags for her birthday.  She has 32 cookies, 16 small toys, and 24 bracelets.  She wants each bag to have the same amount of cookies, toys and bracelets.   What is the greatest number of identical party bags she can make?  How many cookies, toys, and bracelets will each bag have?

8 party bags; 4 cookies, 2 toys, and 3 bracelets

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