# What is the Greatest Common Factor of 6 and 10?

Greatest common factor (GCF) of 6 and 10 is **2**.

GCF(6,10) = 2

We will now calculate the prime factors of **6 and 10**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 6 and 10.

## How to find the GCF of 6 and 10?

We will first find the prime factorization of 6 and 10. After we will calculate the factors of 6 and 10 and find the biggest common factor number .

### Step-1: Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of **6** in exponential form is:

6 = 2^{1} × 3^{1}

### Step-2: Prime Factorization of 10

Prime factors of 10 are 2, 5. Prime factorization of **10** in exponential form is:

10 = 2^{1} × 5^{1}

### Step-3: Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1, 2, 3

### Step-4: Factors of 10

List of positive integer factors of 10 that divides 6 without a remainder.

1, 2, 5

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6 and 10. The biggest common factor number is the **GCF** number.

So the **greatest common factor 6 and 10** is **2**.

Also check out the Least Common Multiple of 6 and 10