# What is the Greatest Common Factor of 89 and 103?

Greatest common factor (GCF) of 89 and 103 is 1.

GCF(89,103) = 1

We will now calculate the prime factors of 89 and 103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89 and 103.

GCF Calculator and
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## How to find the GCF of 89 and 103?

We will first find the prime factorization of 89 and 103. After we will calculate the factors of 89 and 103 and find the biggest common factor number .

### Step-1: Prime Factorization of 89

Prime factors of 89 are 89. Prime factorization of 89 in exponential form is:

89 = 891

### Step-2: Prime Factorization of 103

Prime factors of 103 are 103. Prime factorization of 103 in exponential form is:

103 = 1031

### Step-3: Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1

### Step-4: Factors of 103

List of positive integer factors of 103 that divides 89 without a remainder.

1

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89 and 103. The biggest common factor number is the GCF number.
So the greatest common factor 89 and 103 is 1.

Also check out the Least Common Multiple of 89 and 103