# What is the Greatest Common Factor of 8 and 14?

Greatest common factor (GCF) of 8 and 14 is 2.

GCF(8,14) = 2

We will now calculate the prime factors of 8 and 14, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8 and 14.

GCF Calculator and
and

## How to find the GCF of 8 and 14?

We will first find the prime factorization of 8 and 14. After we will calculate the factors of 8 and 14 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 = 23

### Step-2: Prime Factorization of 14

Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:

14 = 21 × 71

### 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 14

List of positive integer factors of 14 that divides 8 without a remainder.

1, 2, 7

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8 and 14. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 14 is 2.

Also check out the Least Common Multiple of 8 and 14