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Popular >

gcd 36,42

Solution

gcf

36, 42

6

Solution steps

36, 42

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

Prime factorization of

42 : 2 \cdot 3 \cdot 7

42

42

divides by

242 = 21 \cdot 2

= 2 \cdot 21

21

divides by

321 = 7 \cdot 3

= 2 \cdot 3 \cdot 7

2, 3, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 7

The prime factors common to

36, 42

are

= 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6

\frac{1}{0.05}

\frac{112}{4}

- 2 (- 2)^{2}

- 14.04 + 360

\frac{24}{25}