# Greatest Common Factor of 64 and 74

Greatest common factor (GCF) of 64 and 74 is 2.

GCF(64,74) = 2

We will now calculate the prime factors of 64 and 74, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64 and 74.

GCF Calculator and

## Prime Factorization of 64

Prime factors of 64 are 2. Prime factorization of 64 in exponential form is:

64 = 26

## Prime Factorization of 74

Prime factors of 74 are 2, 37. Prime factorization of 74 in exponential form is:

74 = 21 × 371

### Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32

### Factors of 74

List of positive integer factors of 74 that divides 64 without a remainder.

1, 2, 37

### Greatest Common Factor

We found the factors and prime factorization of 64 and 74. The biggest common factor number is the GCF number.
So the greatest common factor 64 and 74 is 2.

Also check out the Least Common Multiple of 64 and 74