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Find the GCF 18 , 35

Solution

gcf

18, 35

1

Solution steps

18, 35

Prime factorization of

18 : 2 \cdot 3 \cdot 3

18

18

divides by

218 = 9 \cdot 2

= 2 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 3

Prime factorization of

35 : 5 \cdot 7

35

35

divides by

535 = 7 \cdot 5

= 5 \cdot 7

5, 7

are all prime numbers, therefore no further factorization is possible

= 5 \cdot 7

No common factor for

18

and

35

therefore the GCD is 1

= 1

t o a p erce n t a g e 17/10

\frac{89}{12}

t o a p erce n t a g e 7/5

\frac{58}{3}

t o a p erce n t a g e 2/13