Ideas
Factorization
Find the GCF
Applications
Find the LCM
100

What does GCF Stand for? 

Greatest Common Factor

100

What is the prime factorization of 60?

2 ⋅ 2 ⋅ 3 ⋅ 5

100

Find the GCF of 

14 and 21

7

100

 1/4 + 1/6 

5/12

100

Find the LCM of 12 and 18

36

200

What does LCM stand for? 

Least Common Multiple

200

What is the prime factorization of 44?

2 ⋅ 2 ⋅11

200

Find the GCF of 

20 and 36

4

200

Simplify

32/60

8/15

200

Find the LCM of

18 and 27

54

300

When would a person use the greatest common factor? 

To simplify fractions

300

List ALL factors of 18. 

Hint: Use every combination of one or more of the primes. 

1, 2, 3, 6, 9, 18

300

Find the GCF of 

12 and 18

6

300

22/25 * 20/33 

Answer in a SIMPLIFIED fraction. 

8/15

300

Find the LCM of 

12 and 21

84

400

When would a person use the least common multiple? 

To find a common denominator while adding fractions. 

400

What is the prime factorization of 64?

Answer using exponential form. 

2^6

400

Find the GCF of 

48 and 60

12

400

3/20 + 7/12

11/15

400

Find the LCM of 

18 and 15

90

500

What tool or skill is useful for finding BOTH the LCM and the GCF quickly? 

Factor Trees!

500

What is the prime factorization of 72? 

Answer in EXPONENTIAL FORM. 

2^3 3^2

500

Find the GCF for

350 and 525

175

500

Simplify:

(6x^2 y^3)/ (14x^4 y)

(3y^2)/(7x^2)

500

Find the LCM of 

 15ab^2 and  10a^2 b^3 

30a^2b^3

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