# Calculate the GCF of 3 and 15

Greatest common factor or GCF of 3 and 15 is the highest number that divides the two without leaving any remainder. They are also termed as HCF or GCF

## Answer: The GCF of 3 and 15 is 3

Let us see how to find the GCF of 3 and 15

## Explanation:

GCF of 3 and 13 can be calculated using different ways such as:

- Prime Factorization
- Listing common factors

### Method 1: Prime Factorization method

Step 1: We will be finding the prime factors of 3 and 15

Step 2: Common factors are observed

Step 3: Product of the common factors are found to calculate the GCF

Thus, GCF of 3 and 15 = 3

### Method 2: Listing common factors:

Lets observe the factors of 3 and 15

Factors of 3 : 1, 3

Factors of 15 : 1, 3, 5,15

Greatest common factor of 3 and 15 = 3