# Greatest Common Factor of 198 and 217

Greatest common factor (GCF) of 198 and 217 is 1.

GCF(198,217) = 1

We will now calculate the prime factors of 198 and 217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 198 and 217.

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 217

Prime factors of 217 are 7, 31. Prime factorization of 217 in exponential form is:

217 = 71 × 311

### 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 217

List of positive integer factors of 217 that divides 198 without a remainder.

1, 7, 31

### Greatest Common Factor

We found the factors and prime factorization of 198 and 217. The biggest common factor number is the GCF number.
So the greatest common factor 198 and 217 is 1.

Also check out the Least Common Multiple of 198 and 217