# Greatest Common Factor of 42 and 72

Greatest common factor (GCF) of 42 and 72 is 6.

GCF(42,72) = 6

We will now calculate the prime factors of 42 and 72, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42 and 72.

GCF Calculator and

## Prime Factorization of 42

Prime factors of 42 are 2, 3, 7. Prime factorization of 42 in exponential form is:

42 = 21 × 31 × 71

## Prime Factorization of 72

Prime factors of 72 are 2, 3. Prime factorization of 72 in exponential form is:

72 = 23 × 32

### Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21

### Factors of 72

List of positive integer factors of 72 that divides 42 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36

### Greatest Common Factor

We found the factors and prime factorization of 42 and 72. The biggest common factor number is the GCF number.
So the greatest common factor 42 and 72 is 6.

Also check out the Least Common Multiple of 42 and 72