# Greatest Common Factor of 45 and 58

Greatest common factor (GCF) of 45 and 58 is 1.

GCF(45,58) = 1

We will now calculate the prime factors of 45 and 58, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45 and 58.

GCF Calculator and

## Prime Factorization of 45

Prime factors of 45 are 3, 5. Prime factorization of 45 in exponential form is:

45 = 32 × 51

## Prime Factorization of 58

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

58 = 21 × 291

### Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15

### Factors of 58

List of positive integer factors of 58 that divides 45 without a remainder.

1, 2, 29

### Greatest Common Factor

We found the factors and prime factorization of 45 and 58. The biggest common factor number is the GCF number.
So the greatest common factor 45 and 58 is 1.

Also check out the Least Common Multiple of 45 and 58