# Greatest Common Factor of 42 and 54

Greatest common factor (GCF) of 42 and 54 is 6.

GCF(42,54) = 6

We will now calculate the prime factors of 42 and 54, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42 and 54.

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 54

Prime factors of 54 are 2, 3. Prime factorization of 54 in exponential form is:

54 = 21 × 33

### 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 54

List of positive integer factors of 54 that divides 42 without a remainder.

1, 2, 3, 6, 9, 18, 27

### Greatest Common Factor

We found the factors and prime factorization of 42 and 54. The biggest common factor number is the GCF number.
So the greatest common factor 42 and 54 is 6.

Also check out the Least Common Multiple of 42 and 54