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Find the GCF What is the greatest common factor of 9 and 36 ?

Solution

gcf

9, 36

9

Solution steps

9, 36

Prime factorization of

9 : 3 \cdot 3

9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3

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

9, 36

are

= 3 \cdot 3

Multiply the numbers:

3 \cdot 3 = 9

= 9

\frac{100}{13}

\frac{7}{4}

\frac{1}{2}, \frac{4}{( x ^{2} )}

t o a p erce n t a g e 26/20

\frac{100}{80}