LCM
GCF
Prime Factorization
GCF & LCM Word problems
Vocab
100

Find the LCM of 3 and 4.

12

100

Find the GCF of 8 and 12.

4

100

Write the prime factorization of 24 in Exponential form.

23 × 3

100

Myra is having a birthday party for all math friends.  She has 12 pencils and 18 erasers to give away as goody bags.  What is the greatest number of bags she can make using all the the math equipment? 

6 goody bags.

100

A whole number greater than 1 that has exactly two factors is called what?

A prime number

200

Find the LCM of 6 and 8.

24

200

Find the GCF of 27 and 45.

9

200

Write the prime factorization of 50 in expanded form

2x5x5

200

A school bell rings every 6 minutes and another bell rings every 8 minutes. If they ring together at 9:00, at what time will they ring together again at the same time?

9:24

200

A non-zero number that divides evenly into another number is called what?

A factor

300

Find the LCM of 12 & 15.

60

300

Find the GCF of 36 and 60. (use either method)

12

300

what number has the prime factorization of 23 × 32 

72

300

Mr. Buckman has 24 girls and 32 boys attend his ultimate frisbee practice.  He wants to make teams so that there is an equal amount of boys and girls foreach team.  What is the greatest numbers of teams he can make?  How many boys and girls should be on each team?  If you write "join the MVMS ultimate frisbee team" on your whiteboard, you automatically get the points.

8 teams:  3 girls and 4 boys per team.

300

What is the vocab word for a number when it is multiplied by itself exactly twice.   

a Square number

400
Find the LCM of 36 & 42 using the prime factorization method

252

400

Find the GCF of 48 and 72 using the prime factorization method

24

400

Write the prime factorization of 180 in either form

2x2x3x3x5 

OR

2² × 3² × 5

400

Two buses leave school at the same time. One returns every 12 minutes and the other every 15 minutes. How many minutes until they are both back at school together?

60 minutes

400

What is the term for a mathematical operation used for repeated multiplication by the same number?

An exponent or Power

500

Find the LCM of 45 & 100, hint: finding the prime factorization will be quicker

900

500

Find the GCF of 72 & 90 using prime factorization.

18

500

What is the prime factorization of 360 in exponential form

2x 32x5

500

Good guy Greyson decides to give his beloved math class sweet treats.  He's got 48 cookies, 60 brownies, and 72 mini candies. He wants to make the greatest possible number of identical prize bags with no items left over. How many bags can he make, and what will each bag contain?  

12 bags; 4 cookies, 5 brownies, and 6 mini candies. 

500

Define prime factorization

Prime factorization is the process of breaking down a number into a product of prime numbers.  Which multiply together to give the original number.