# What is the Greatest Common Factor of 4 and 8?

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

GCF(4,8) = 4

We will now calculate the prime factors of 4 and 8, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4 and 8.

GCF Calculator and
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## How to find the GCF of 4 and 8?

We will first find the prime factorization of 4 and 8. After we will calculate the factors of 4 and 8 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 8

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

8 = 23

### Step-3: Factors of 4

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

1, 2

### Step-4: Factors of 8

List of positive integer factors of 8 that divides 4 without a remainder.

1, 2, 4

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4 and 8. The biggest common factor number is the GCF number.
So the greatest common factor 4 and 8 is 4.

Also check out the Least Common Multiple of 4 and 8

#### Related Greatest Common Factors of 8

Nain Jerez 2021-03-22 09:00:23

This is very helpful because it gives you the right answers and it helps with gcf :) :D

randomkid 2020-12-09 06:54:29

thank you for letting me cheat on my schoolwork!

Guest 2019-12-16 14:29:44

thanks for helping me

Kyla 2018-11-28 14:48:33