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Popular >

Find the GCF 12 , 27

Solution

gcf

12, 27

3

Solution steps

12, 27

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

27 : 3 \cdot 3 \cdot 3

27

27

divides by

327 = 9 \cdot 3

= 3 \cdot 9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3 \cdot 3

The prime factors common to

12, 27

are

= 3

t o a p erce n t a g e 1.4

0.175

\frac{190}{2}

6, 15, 20

\frac{156}{13}