What is the greatest common factor of 104 and 117 and why?

Answer 1

Factors of 104 are 1, 2, 4, 8, 13, 26, 52 and 104.

factors of 117 are 1, 3, 9, 13, 39 and 117.

Common factors are 1 and 13. But, 13 is the greater than 1 so it is the greatest common factor.

Alternate Method:

Greatest common factor(GCF) of two or more numbers can be calculated by using the method of prime factorization.

Prime factorization of 104 = 2x2x2x13

Prime factorization of 117 = 3x3x13

It is clear from the factorization that 13 is the GCF.

Answer 2

The GCF of 104 and 117 is 13 because 13 is the largest number that divides evenly into both of them with no remainder.

Answer 3

13