# What is the Greatest Common Factor of 4 and 20?

Greatest common factor (GCF) of 4 and 20 is 4.

GCF(4,20) = 4

We will now calculate the prime factors of 4 and 20, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4 and 20.

GCF Calculator and
and

## How to find the GCF of 4 and 20?

We will first find the prime factorization of 4 and 20. After we will calculate the factors of 4 and 20 and find the biggest common factor number .

### Step-1: Prime Factorization of 4

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 22

### Step-2: Prime Factorization of 20

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

20 = 22 × 51

### Step-3: Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2

### Step-4: Factors of 20

List of positive integer factors of 20 that divides 4 without a remainder.

1, 2, 4, 5, 10

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4 and 20. The biggest common factor number is the GCF number.
So the greatest common factor 4 and 20 is 4.

Also check out the Least Common Multiple of 4 and 20

#### Related Greatest Common Factors of 20

Please share your comments