# Greatest Common Factor of 3 and 12

Greatest common factor (GCF) of 3 and 12 is **3**.

GCF(3,12) = 3

We will now calculate the prime factors of **3 and 12**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 3 and 12.

## Prime Factorization of 3

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

3 = 3^{1}

## Prime Factorization of 12

Prime factors of 12 are 2, 3. Prime factorization of **12** in exponential form is:

12 = 2^{2} × 3^{1}

### Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1

### Factors of 12

List of positive integer factors of 12 that divides 3 without a remainder.

1, 2, 3, 4, 6

### Greatest Common Factor

We found the factors and prime factorization of 3 and 12. The biggest common factor number is the **GCF** number.

So the **greatest common factor 3 and 12** is **3**.

Also check out the Least Common Multiple of 3 and 12

## Recent Comments

Thxs, who ever made this did a really good job it help a lot

It helped a lot!

Thanks for the help!

I solved this problem on my own and I din't get three, is there an another way to help me get the right answer?

Worked pretty well thanks