# What is the Greatest Common Factor of 81 and 97?

Greatest common factor (GCF) of 81 and 97 is **1**.

GCF(81,97) = 1

We will now calculate the prime factors of **81 and 97**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 81 and 97.

## How to find the GCF of 81 and 97?

We will first find the prime factorization of 81 and 97. After we will calculate the factors of 81 and 97 and find the biggest common factor number .

### Step-1: Prime Factorization of 81

Prime factors of 81 are 3. Prime factorization of **81** in exponential form is:

81 = 3^{4}

### Step-2: Prime Factorization of 97

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

97 = 97^{1}

### Step-3: Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1, 3, 9, 27

### Step-4: Factors of 97

List of positive integer factors of 97 that divides 81 without a remainder.

1

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81 and 97. The biggest common factor number is the **GCF** number.

So the **greatest common factor 81 and 97** is **1**.

Also check out the Least Common Multiple of 81 and 97

#### Related Greatest Common Factors of 81

#### Related Greatest Common Factors of 97

- GCF of 97 and 101
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- GCF of 97 and 116
- GCF of 97 and 117