Finding Greatest Common Factor from Factorizations (Level 2)

This math topic focuses on finding the Greatest Common Factor (GCF) from the factorizations of numbers. It involves comparing factorizations to determine the set of shared factors between two numbers. The problems typically present a pair of factorized numbers and ask students to choose the GCF from multiple options. This skill is important for understanding how numbers relate through divisibility and is a foundational aspect of arithmetic and algebra.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Finding Greatest Common Factor from Factorizations Worksheet

Math worksheet on 'Finding Greatest Common Factor from Factorizations (Level 2)'. Part of a broader unit on 'Factoring and Venn Factor Diagrams - Practice' Learn online: app.mobius.academy/math/units/factoring_and_venn_diagrams_practice/

1

Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors

a

5

b

11

c

3

d

13

e

21

f

1

2

Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors

a

2

b

1

c

7

d

5

e

4

f

17

3

Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors

a

5

b

16

c

1

d

24

e

31

f

28

4

Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors

a

22

b

4

c

15

d

13

e

1

f

23

5

Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors

a

8

b

7

c

1

d

5

e

12

f

2

6

Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors

a

3

b

1

c

18

d

2

e

5

f

4

7

Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors

a

2

b

4

c

6

d

1

e

9

f

7