# Greatest Common Factor of 15 and 20

Greatest common factor (GCF) of 15 and 20 is **5**.

GCF(15,20) = 5

We will now calculate the prime factors of **15 and 20**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 15 and 20.

## Prime Factorization of 15

Prime factors of 15 are 3, 5. Prime factorization of **15** in exponential form is:

15 = 3^{1} × 5^{1}

## Prime Factorization of 20

Prime factors of 20 are 2, 5. Prime factorization of **20** in exponential form is:

20 = 2^{2} × 5^{1}

### Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1, 3, 5

### Factors of 20

List of positive integer factors of 20 that divides 15 without a remainder.

1, 2, 4, 5, 10

### Greatest Common Factor

We found the factors and prime factorization of 15 and 20. The biggest common factor number is the **GCF** number.

So the **greatest common factor 15 and 20** is **5**.

Also check out the Least Common Multiple of 15 and 20

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