# What is the Greatest Common Factor of 6 and 24?

Greatest common factor (GCF) of 6 and 24 is **6**.

GCF(6,24) = 6

We will now calculate the prime factors of **6 and 24**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 6 and 24.

## How to find the GCF of 6 and 24?

We will first find the prime factorization of 6 and 24. After we will calculate the factors of 6 and 24 and find the biggest common factor number .

### Step-1: Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of **6** in exponential form is:

6 = 2^{1} × 3^{1}

### Step-2: Prime Factorization of 24

Prime factors of 24 are 2, 3. Prime factorization of **24** in exponential form is:

24 = 2^{3} × 3^{1}

### Step-3: Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1, 2, 3

### Step-4: Factors of 24

List of positive integer factors of 24 that divides 6 without a remainder.

1, 2, 3, 4, 6, 8, 12

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6 and 24. The biggest common factor number is the **GCF** number.

So the **greatest common factor 6 and 24** is **6**.

Also check out the Least Common Multiple of 6 and 24