# Greatest Common Factor of 102 and 117

Greatest common factor (GCF) of 102 and 117 is 3.

GCF(102,117) = 3

We will now calculate the prime factors of 102 and 117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 102 and 117.

GCF Calculator and

## Prime Factorization of 102

Prime factors of 102 are 2, 3, 17. Prime factorization of 102 in exponential form is:

102 = 21 × 31 × 171

## Prime Factorization of 117

Prime factors of 117 are 3, 13. Prime factorization of 117 in exponential form is:

117 = 32 × 131

### Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51

### Factors of 117

List of positive integer factors of 117 that divides 102 without a remainder.

1, 3, 9, 13, 39

### Greatest Common Factor

We found the factors and prime factorization of 102 and 117. The biggest common factor number is the GCF number.
So the greatest common factor 102 and 117 is 3.

Also check out the Least Common Multiple of 102 and 117