# What is the Greatest Common Factor of 15 and 24?

Greatest common factor (GCF) of 15 and 24 is **3**.

GCF(15,24) = 3

We will now calculate the prime factors of **15 and 24**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 15 and 24.

## How to find the GCF of 15 and 24?

We will first find the prime factorization of 15 and 24. After we will calculate the factors of 15 and 24 and find the biggest common factor number .

### Step-1: Prime Factorization of 15

Prime factors of 15 are 3, 5. Prime factorization of **15** in exponential form is:

15 = 3^{1} × 5^{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 15

List of positive integer factors of 15 that divides 15 without a remainder.

1, 3, 5

### Step-4: Factors of 24

List of positive integer factors of 24 that divides 15 without a remainder.

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

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15 and 24. The biggest common factor number is the **GCF** number.

So the **greatest common factor 15 and 24** is **3**.

Also check out the Least Common Multiple of 15 and 24