# Greatest Common Factor of 66 and 82

Greatest common factor (GCF) of 66 and 82 is 2.

GCF(66,82) = 2

We will now calculate the prime factors of 66 and 82, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66 and 82.

GCF Calculator and

## Prime Factorization of 66

Prime factors of 66 are 2, 3, 11. Prime factorization of 66 in exponential form is:

66 = 21 × 31 × 111

## Prime Factorization of 82

Prime factors of 82 are 2, 41. Prime factorization of 82 in exponential form is:

82 = 21 × 411

### Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33

### Factors of 82

List of positive integer factors of 82 that divides 66 without a remainder.

1, 2, 41

### Greatest Common Factor

We found the factors and prime factorization of 66 and 82. The biggest common factor number is the GCF number.
So the greatest common factor 66 and 82 is 2.

Also check out the Least Common Multiple of 66 and 82