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gcd 12,9

Solution

gcf

12, 9

3

Solution steps

12, 9

Prime factorization of

12 : 2 \cdot 2 \cdot 3

12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3

Prime factorization of

9 : 3 \cdot 3

9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3

The prime factors common to

12, 9

are

= 3

\frac{120}{2}

\frac{11}{12}

16 \cdot 12

\frac{8}{2} (4)

\frac{1}{0.01}