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Popular >

Find the GCF 27 45

Solution

gcf

27, 45

9

Solution steps

27, 45

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

Prime factorization of

45 : 3 \cdot 3 \cdot 5

45

45

divides by

345 = 15 \cdot 3

= 3 \cdot 15

15

divides by

315 = 5 \cdot 3

= 3 \cdot 3 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 3 \cdot 5

The prime factors common to

27, 45

are

= 3 \cdot 3

Multiply the numbers:

3 \cdot 3 = 9

= 9

t o a p erce n t a g e 2/15

(5/3) /2

\frac{84}{3}

t h e \frac{36}{15}

6.6