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Find the GCF 21 , 56

Solution

gcf

21, 56

7

Solution steps

21, 56

Prime factorization of

21 : 3 \cdot 7

21

21

divides by

321 = 7 \cdot 3

= 3 \cdot 7

3, 7

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 7

Prime factorization of

56 : 2 \cdot 2 \cdot 2 \cdot 7

56

56

divides by

256 = 28 \cdot 2

= 2 \cdot 28

28

divides by

228 = 14 \cdot 2

= 2 \cdot 2 \cdot 14

14

divides by

214 = 7 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 7

2, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 7

The prime factors common to

21, 56

are

= 7

180 - 153

\frac{32}{35}

\frac{47}{3}

t o a p erce n t a g e 54/75

0.38