# 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.

## Prime Factorization of 30

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

30 = 2^{1} × 3^{1} × 5^{1}

## Prime Factorization of 45

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

45 = 3^{2} × 5^{1}

### 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

## Recent Comments

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 !!

How do you get the sum

thx for the help

Thanks this really helped!