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.

more
View

Finding Greatest Common Factor from Factorizations Worksheet

Mobius Math Academy logo
Math worksheet on 'Finding Greatest Common Factor from Factorizations (Level 2)'. Part of a broader unit on 'Factoring and Greatest Common Factor - Intro' Learn online: app.mobius.academy/math/units/factoring_and_greatest_common_factor_intro/
1
Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors
A LaTex expression showing 8 ( = 2 multiplied by 2 multiplied by 2)\\6 ( = 2 multiplied by 3)
a
3
b
1
c
2
d
10
e
7
f
8
2
Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors
A LaTex expression showing 6 ( = 2 multiplied by 3)\\8 ( = 2 multiplied by 2 multiplied by 2)
a
3
b
4
c
5
d
6
e
1
f
2
3
Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors
A LaTex expression showing 15 ( = 3 multiplied by 5)\\9 ( = 3 multiplied by 3)
a
3
b
12
c
2
d
1
e
14
f
9
4
Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors
A LaTex expression showing 14 ( = 2 multiplied by 7)\\8 ( = 2 multiplied by 2 multiplied by 2)
a
5
b
1
c
17
d
3
e
2
f
12
5
Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors
A LaTex expression showing 6 ( = 2 multiplied by 3)\\15 ( = 3 multiplied by 5)
a
10
b
5
c
2
d
23
e
25
f
3
6
Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors
A LaTex expression showing 15 ( = 3 multiplied by 5)\\6 ( = 2 multiplied by 3)
a
1
b
5
c
14
d
11
e
13
f
3
7
Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors
A LaTex expression showing 14 ( = 2 multiplied by 7)\\12 ( = 2 multiplied by 2 multiplied by 3)
a
9
b
3
c
8
d
2
e
1
f
6