# Greatest Common Factor of 45 and 75

Greatest common factor (GCF) of 45 and 75 is 15.

GCF(45,75) = 15

We will now calculate the prime factors of 45 and 75, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45 and 75.

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 75

Prime factors of 75 are 3, 5. Prime factorization of 75 in exponential form is:

75 = 31 × 52

### Factors of 45

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

1, 3, 5, 9, 15

### Factors of 75

List of positive integer factors of 75 that divides 45 without a remainder.

1, 3, 5, 15, 25

### Greatest Common Factor

We found the factors and prime factorization of 45 and 75. The biggest common factor number is the GCF number.
So the greatest common factor 45 and 75 is 15.

Also check out the Least Common Multiple of 45 and 75