# Greatest Common Factor of 38 and 58

Greatest common factor (GCF) of 38 and 58 is **2**.

GCF(38,58) = 2

We will now calculate the prime factors of **38 and 58**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 38 and 58.

## Prime Factorization of 38

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

38 = 2^{1} × 19^{1}

## Prime Factorization of 58

Prime factors of 58 are 2, 29. Prime factorization of **58** in exponential form is:

58 = 2^{1} × 29^{1}

### Factors of 38

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

1, 2, 19

### Factors of 58

List of positive integer factors of 58 that divides 38 without a remainder.

1, 2, 29

### Greatest Common Factor

We found the factors and prime factorization of 38 and 58. The biggest common factor number is the **GCF** number.

So the **greatest common factor 38 and 58** is **2**.

Also check out the Least Common Multiple of 38 and 58