The solution to gcd 99,165 is 33

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Find the GCF 99 , 165

Solution

gcf

99, 165

33

Solution steps

99, 165

Prime factorization of

99 : 3 \cdot 3 \cdot 11

99

99

divides by

399 = 33 \cdot 3

= 3 \cdot 33

33

divides by

333 = 11 \cdot 3

= 3 \cdot 3 \cdot 11

3, 11

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 3 \cdot 11

Prime factorization of

165 : 3 \cdot 5 \cdot 11

165

165

divides by

3165 = 55 \cdot 3

= 3 \cdot 55

55

divides by

555 = 11 \cdot 5

= 3 \cdot 5 \cdot 11

3, 5, 11

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 5 \cdot 11

The prime factors common to

99, 165

are

= 3 \cdot 11

Multiply the numbers:

3 \cdot 11 = 33

= 33

100 - 38

t h e \frac{240}{360}

400 \cdot 45

\frac{9}{56}

t h e \frac{225}{360}