# Greatest Common Factor of 198 and 204

Greatest common factor (GCF) of 198 and 204 is 6.

GCF(198,204) = 6

We will now calculate the prime factors of 198 and 204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 198 and 204.

GCF Calculator and

## Prime Factorization of 198

Prime factors of 198 are 2, 3, 11. Prime factorization of 198 in exponential form is:

198 = 21 × 32 × 111

## Prime Factorization of 204

Prime factors of 204 are 2, 3, 17. Prime factorization of 204 in exponential form is:

204 = 22 × 31 × 171

### Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99

### Factors of 204

List of positive integer factors of 204 that divides 198 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102

### Greatest Common Factor

We found the factors and prime factorization of 198 and 204. The biggest common factor number is the GCF number.
So the greatest common factor 198 and 204 is 6.

Also check out the Least Common Multiple of 198 and 204