Finding Greatest Common Factor Shared Factors (Level 2)

This math topic focuses on identifying the greatest common factors (GCF) through shared prime factors, part of a broader practice on factoring and GCF. Through a series of questions, learners are prompted to determine the shared prime factors between pairs of numbers, enhancing their understanding of prime factorization and GCF. This skill is essential for various mathematical applications including simplifying fractions and solving problems involving ratios. Each question presents different pairs of numbers, requiring learners to apply their knowledge to find commonalities in their prime factors.

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

Finding Greatest Common Factor Shared Factors Worksheet

Math worksheet on 'Finding Greatest Common Factor Shared Factors (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 shared prime factors of these numbers

14, 7

a

{4}

b

{7, 3, 2, 3}

c

{7, 5}

d

{4, 6, 3}

e

{3, 4, 2, 2}

f

{7}

2

Find the shared prime factors of these numbers

15, 9

a

{3}

b

{2}

c

{6, 2, 6, 3}

d

{7}

e

{5}

f

{3, 5}

3

Find the shared prime factors of these numbers

4, 14

a

{2, 6, 4, 4, 7}

b

{2, 6, 4, 3, 6}

c

{5, 7, 2, 6}

d

{2}

e

{5, 2, 3}

f

{5, 5, 3, 6}

4

Find the shared prime factors of these numbers

10, 15

a

{5, 3, 5, 4, 4}

b

{7, 2, 2, 2}

c

{5}

d

{5, 4}

e

{4, 5, 4, 2}

f

{4, 7, 4, 5}

5

Find the shared prime factors of these numbers

5, 15

a

{6, 3, 3}

b

{5, 5}

c

{5}

d

{5, 2}

e

{4}

f

{5, 3, 3}

6

Find the shared prime factors of these numbers

15, 5

a

{5}

b

{7, 6, 2}

c

{4}

d

{5, 2, 7, 4, 4}

e

{5, 7, 4, 3, 6}

f

{5, 5, 7}

7

Find the shared prime factors of these numbers

9, 6

a

{3, 2, 4, 7, 6}

b

{7}

c

{3, 5}

d

{3}

e

{3, 4, 5, 7, 7}

f

{3, 2, 6, 5, 3}