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Finding Greatest Common Factor from Factorizations

Level 3

This math topic focuses on finding the greatest common factor (GCF) of numbers based on their factorizations. It involves recognizing the shared factors among given sets of numbers and selecting the highest common factor. The questions provide the factorizations of pairs of numbers, and learners must identify the GCF from a list of options. This is a part of a broader practice unit on factoring and understanding of greatest common factors, suitable for reinforcing skills in factor recognition and multiplication.

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

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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 3)'. 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 10 ( = 2 multiplied by 5)\\16 ( = 2 multiplied by 2 multiplied by 2 multiplied by 2)
a
3
b
13
c
1
d
2
e
7
f
5
2
Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors
A LaTex expression showing 9 ( = 3 multiplied by 3)\\18 ( = 2 multiplied by 3 multiplied by 3)
a
29
b
66
c
1
d
2
e
10
f
9
3
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)\\14 ( = 2 multiplied by 7)
a
7
b
6
c
2
d
11
e
3
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 16 ( = 2 multiplied by 2 multiplied by 2 multiplied by 2)\\18 ( = 2 multiplied by 3 multiplied by 3)
a
13
b
8
c
1
d
2
e
10
f
14
5
Find the greatest common factor of these numbers from their factorization by choosing the set of shared factors
A LaTex expression showing 16 ( = 2 multiplied by 2 multiplied by 2 multiplied by 2)\\6 ( = 2 multiplied by 3)
a
6
b
1
c
2
d
16
e
8
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 16 ( = 2 multiplied by 2 multiplied by 2 multiplied by 2)\\12 ( = 2 multiplied by 2 multiplied by 3)
a
4
b
8
c
5
d
6
e
2
f
1
7
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)\\18 ( = 2 multiplied by 3 multiplied by 3)
a
1
b
8
c
4
d
10
e
3
f
16
Finding Greatest Common Factor from Factorizations (Level 3) - Mobius Math