# What is the Greatest Common Factor of 5 and 13?

Greatest common factor (GCF) of 5 and 13 is 1.

GCF(5,13) = 1

We will now calculate the prime factors of 5 and 13, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5 and 13.

GCF Calculator and
and

## How to find the GCF of 5 and 13?

We will first find the prime factorization of 5 and 13. After we will calculate the factors of 5 and 13 and find the biggest common factor number .

### Step-1: Prime Factorization of 5

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

5 = 51

### Step-2: Prime Factorization of 13

Prime factors of 13 are 13. Prime factorization of 13 in exponential form is:

13 = 131

### Step-3: Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1

### Step-4: Factors of 13

List of positive integer factors of 13 that divides 5 without a remainder.

1

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5 and 13. The biggest common factor number is the GCF number.
So the greatest common factor 5 and 13 is 1.

Also check out the Least Common Multiple of 5 and 13