LCM
GCF
Prime Factorization
GCF & LCM Word problems
Vocab
1000

Find the LCM of 3 and 4.

12

1000

Find the GCF of 8 and 12.

4

1000

Write the prime factorization of 24 in Exponential form.

23 × 3

1000

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.

1000

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

A prime number

2000

Find the LCM of 6 and 8.

24

2000

Find the GCF of 27 and 45.

9

2000

Write the prime factorization of 50 in expanded form

2x5x5

2000

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

2000

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

A factor

3000

Find the LCM of 12 & 15.

60

3000

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

12

3000

what number has the prime factorization of 23 × 32 

72

3000

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.

3000

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

a Square number

4000
Find the LCM of 36 & 42 using the prime factorization method

252

4000

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

24

4000

Write the prime factorization of 180 in either form

2x2x3x3x5 

OR

2² × 3² × 5

4000

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

4000

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

An exponent or Power

5000

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

900

5000

Find the GCF of 72 & 90 using prime factorization.

18

5000

What is the prime factorization of 360 in exponential form

2x 32x5

5000

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. 

5000

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.

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