The solution to gcd 26,39 is 13

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Find the GCF 26 , 39

Solution

gcf

26, 39

13

Solution steps

26, 39

Prime factorization of

26 : 2 \cdot 13

26

26

divides by

226 = 13 \cdot 2

= 2 \cdot 13

2, 13

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 13

Prime factorization of

39 : 3 \cdot 13

39

39

divides by

339 = 13 \cdot 3

= 3 \cdot 13

3, 13

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 13

The prime factors common to

26, 39

are

= 13

5 (90) + 125

\frac{17}{20}

360/5

\frac{31}{2}

45 - 24