# Greatest Common Factor of 38 and 53

Greatest common factor (GCF) of 38 and 53 is 1.

GCF(38,53) = 1

We will now calculate the prime factors of 38 and 53, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38 and 53.

GCF Calculator and

## Prime Factorization of 38

Prime factors of 38 are 2, 19. Prime factorization of 38 in exponential form is:

38 = 21 × 191

## Prime Factorization of 53

Prime factors of 53 are 53. Prime factorization of 53 in exponential form is:

53 = 531

### Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1, 2, 19

### Factors of 53

List of positive integer factors of 53 that divides 38 without a remainder.

1

### Greatest Common Factor

We found the factors and prime factorization of 38 and 53. The biggest common factor number is the GCF number.
So the greatest common factor 38 and 53 is 1.

Also check out the Least Common Multiple of 38 and 53