# What is the Greatest Common Factor of 8 and 12?

Greatest common factor (GCF) of 8 and 12 is **4**.

GCF(8,12) = 4

We will now calculate the prime factors of **8 and 12**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 8 and 12.

## How to find the GCF of 8 and 12?

We will first find the prime factorization of 8 and 12. After we will calculate the factors of 8 and 12 and find the biggest common factor number .

### Step-1: Prime Factorization of 8

Prime factors of 8 are 2. Prime factorization of **8** in exponential form is:

8 = 2^{3}

### Step-2: Prime Factorization of 12

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

12 = 2^{2} × 3^{1}

### Step-3: Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1, 2, 4

### Step-4: Factors of 12

List of positive integer factors of 12 that divides 8 without a remainder.

1, 2, 3, 4, 6

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8 and 12. The biggest common factor number is the **GCF** number.

So the **greatest common factor 8 and 12** is **4**.

Also check out the Least Common Multiple of 8 and 12

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