# What is the Greatest Common Factor of 18 and 20?

Greatest common factor (GCF) of 18 and 20 is **2**.

GCF(18,20) = 2

We will now calculate the prime factors of **18 and 20**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 18 and 20.

## How to find the GCF of 18 and 20?

We will first find the prime factorization of 18 and 20. After we will calculate the factors of 18 and 20 and find the biggest common factor number .

### Step-1: Prime Factorization of 18

Prime factors of 18 are 2, 3. Prime factorization of **18** in exponential form is:

18 = 2^{1} × 3^{2}

### Step-2: Prime Factorization of 20

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

20 = 2^{2} × 5^{1}

### Step-3: Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9

### Step-4: Factors of 20

List of positive integer factors of 20 that divides 18 without a remainder.

1, 2, 4, 5, 10

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18 and 20. The biggest common factor number is the **GCF** number.

So the **greatest common factor 18 and 20** is **2**.

Also check out the Least Common Multiple of 18 and 20