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Find the GCF 63 , 36

Solution

gcf

63, 36

9

Solution steps

63, 36

Prime factorization of

63 : 3 \cdot 3 \cdot 7

63

63

divides by

363 = 21 \cdot 3

= 3 \cdot 21

21

divides by

321 = 7 \cdot 3

= 3 \cdot 3 \cdot 7

3, 7

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 3 \cdot 7

Prime factorization of

36 : 2 \cdot 2 \cdot 3 \cdot 3

36

36

divides by

236 = 18 \cdot 2

= 2 \cdot 18

18

divides by

218 = 9 \cdot 2

= 2 \cdot 2 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 2 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3 \cdot 3

The prime factors common to

63, 36

are

= 3 \cdot 3

Multiply the numbers:

3 \cdot 3 = 9

= 9

\frac{9}{2}

t h e \frac{35}{25}

ro u n d t o t h e n e a res t t e n t h 113.04

3 x - 9

\frac{29}{5}