# Greatest Common Factor of 30 and 45

Greatest common factor (GCF) of 30 and 45 is 15.

GCF(30,45) = 15

We will now calculate the prime factors of 30 and 45, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30 and 45.

GCF Calculator and

## Prime Factorization of 30

Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:

30 = 21 × 31 × 51

## Prime Factorization of 45

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

45 = 32 × 51

### Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15

### Factors of 45

List of positive integer factors of 45 that divides 30 without a remainder.

1, 3, 5, 9, 15

### Greatest Common Factor

We found the factors and prime factorization of 30 and 45. The biggest common factor number is the GCF number.
So the greatest common factor 30 and 45 is 15.

Also check out the Least Common Multiple of 30 and 45

#### Related Greatest Common Factors of 45

Lacey buchanan /school student 2019-03-04 10:58:02

I am EXTREMELY displeased with this "generator"! I specifically said common factors of thirty and forty-five and it gives me ...THIS! It was so laggy and gave me the completely wrong idea causing me to fail my homework for math !!

Georgia 2018-12-12 11:08:06

How do you get the sum

hi 2018-12-03 15:45:09

thx for the help

Jenna Malone 2018-10-15 04:04:29

Thanks this really helped!