# Greatest Common Factor of 192 and 208

Greatest common factor (GCF) of 192 and 208 is 16.

GCF(192,208) = 16

We will now calculate the prime factors of 192 and 208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 192 and 208.

GCF Calculator and

## Prime Factorization of 192

Prime factors of 192 are 2, 3. Prime factorization of 192 in exponential form is:

192 = 26 × 31

## Prime Factorization of 208

Prime factors of 208 are 2, 13. Prime factorization of 208 in exponential form is:

208 = 24 × 131

### Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96

### Factors of 208

List of positive integer factors of 208 that divides 192 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104

### Greatest Common Factor

We found the factors and prime factorization of 192 and 208. The biggest common factor number is the GCF number.
So the greatest common factor 192 and 208 is 16.

Also check out the Least Common Multiple of 192 and 208