This math topic focuses on finding the greatest common factor (GCF) of numbers using their factorizations. It involves recognizing and selecting sets of shared factors between two given numbers. This foundational skill helps in understanding the relationships between numbers and is crucial for more advanced mathematical concepts in algebra, such as factoring polynomials. Each problem requires determining the GCF from the factorizations presented in a graphic format. It is designed for introductory learning in factoring and understanding the greatest common factor.

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Finding Greatest Common Factor from Factorizations Worksheet

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Math worksheet on 'Finding Greatest Common Factor from Factorizations (Level 1)'. 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 4 ( = 2 multiplied by 2)\\2 ( = 2)
a
1
b
5
c
14
d
2
e
6
f
15
2
Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors
A LaTex expression showing 12 ( = 2 multiplied by 2 multiplied by 3)\\4 ( = 2 multiplied by 2)
a
15
b
1
c
3
d
4
e
20
f
25
3
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)\\2 ( = 2)
a
9
b
2
c
10
d
11
e
5
f
1
4
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)\\4 ( = 2 multiplied by 2)
a
3
b
21
c
4
d
23
e
1
f
2
5
Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors
A LaTex expression showing 2 ( = 2)\\6 ( = 2 multiplied by 3)
a
1
b
4
c
11
d
2
e
16
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 10 ( = 2 multiplied by 5)\\5 ( = 5)
a
34
b
3
c
5
d
32
e
8
f
28
7
Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors
A LaTex expression showing 4 ( = 2 multiplied by 2)\\6 ( = 2 multiplied by 3)
a
1
b
13
c
2
d
4
e
12
f
3