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Popular >

Find the GCF 81 , 99

Solution

gcf

81, 99

9

Solution steps

81, 99

Prime factorization of

81 : 3 \cdot 3 \cdot 3 \cdot 3

81

81

divides by

381 = 27 \cdot 3

= 3 \cdot 27

27

divides by

327 = 9 \cdot 3

= 3 \cdot 3 \cdot 9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3 \cdot 3 \cdot 3

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

The prime factors common to

81, 99

are

= 3 \cdot 3

Multiply the numbers:

3 \cdot 3 = 9

= 9

\frac{27}{32}

t o a p erce n t a g e 15/100

180 - 126

9, 15

\frac{73}{20}