# What is the Greatest Common Factor of 83 and 97?

Greatest common factor (GCF) of 83 and 97 is 1.

GCF(83,97) = 1

We will now calculate the prime factors of 83 and 97, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83 and 97.

GCF Calculator and
and

## How to find the GCF of 83 and 97?

We will first find the prime factorization of 83 and 97. After we will calculate the factors of 83 and 97 and find the biggest common factor number .

### Step-1: Prime Factorization of 83

Prime factors of 83 are 83. Prime factorization of 83 in exponential form is:

83 = 831

### Step-2: Prime Factorization of 97

Prime factors of 97 are 97. Prime factorization of 97 in exponential form is:

97 = 971

### Step-3: Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1

### Step-4: Factors of 97

List of positive integer factors of 97 that divides 83 without a remainder.

1

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83 and 97. The biggest common factor number is the GCF number.
So the greatest common factor 83 and 97 is 1.

Also check out the Least Common Multiple of 83 and 97