Finding Greatest Common Factor Shared Factors - 3 Numbers (Level 1)

This math topic focuses on finding the greatest common factor (GCF) of three numbers by identifying their shared prime factors. It tests the ability to factorize numbers into primes and then determine which primes are common to all given numbers. Each problem presents a set of three numbers and multiple choices for the user to select the correct set of shared prime factors. The problems are part of a larger practice unit on factoring and greatest common factors, aimed at enhancing students' understanding of basic algebraic operations involving factorization.

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

Finding Greatest Common Factor Shared Factors - 3 Numbers Worksheet

Math worksheet on 'Finding Greatest Common Factor Shared Factors - 3 Numbers (Level 1)'. Part of a broader unit on 'Factoring and Greatest Common Factor - Advanced' Learn online: app.mobius.academy/math/units/factoring_and_greatest_common_factor_advanced/

1

Find the shared prime factors of these numbers

10, 12, 8

a

{4}

b

{2}

c

{4, 7, 4, 2}

d

{2, 3, 5, 3, 7}

e

{2, 4, 7, 6}

f

{4, 7, 2, 6}

2

Find the shared prime factors of these numbers

4, 10, 6

a

{2}

b

{7, 3, 3, 3}

c

{4}

d

{6}

e

{2, 6}

f

{7, 4, 3}

3

Find the shared prime factors of these numbers

9, 12, 6

a

{6, 3, 5}

b

{3, 3, 5}

c

{3, 6}

d

{4}

e

{4, 2, 5, 6}

f

{3}

4

Find the shared prime factors of these numbers

12, 8, 2

a

{2}

b

{7, 7, 5, 7}

c

{4, 7, 4, 3}

d

{4}

e

{4, 7, 2}

f

{2, 5, 3, 3, 2}

5

Find the shared prime factors of these numbers

10, 4, 12

a

{4, 7, 6}

b

{2}

c

{3, 7, 7, 6}

d

{5, 7, 7, 5}

e

{3, 6, 3, 4}

f

{6}

6

Find the shared prime factors of these numbers

12, 2, 8

a

{2, 5, 5, 5}

b

{2, 3, 2, 3, 2}

c

{2}

d

{6, 3, 4}

e

{6, 6, 7}

f

{2, 2}

7

Find the shared prime factors of these numbers

2, 12, 10

a

{5, 4, 7}

b

{2, 5, 4, 2, 2}

c

{5, 2, 6}

d

{5}

e

{2}

f

{3, 6, 5, 2}