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Find the GCF 20 , 12

Solution

gcf

20, 12

4

Solution steps

20, 12

Prime factorization of

20 : 2 \cdot 2 \cdot 5

20

20

divides by

220 = 10 \cdot 2

= 2 \cdot 10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5

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

The prime factors common to

20, 12

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

120 \cdot 6

\frac{64}{125}

0.035

(5/6) / (7/10)

\frac{15}{2}