# What is the Greatest Common Factor of 73 and 81?

Greatest common factor (GCF) of 73 and 81 is **1**.

GCF(73,81) = 1

We will now calculate the prime factors of **73 and 81**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 73 and 81.

## How to find the GCF of 73 and 81?

We will first find the prime factorization of 73 and 81. After we will calculate the factors of 73 and 81 and find the biggest common factor number .

### Step-1: Prime Factorization of 73

Prime factors of 73 are 73. Prime factorization of **73** in exponential form is:

73 = 73^{1}

### Step-2: Prime Factorization of 81

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

81 = 3^{4}

### Step-3: Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1

### Step-4: Factors of 81

List of positive integer factors of 81 that divides 73 without a remainder.

1, 3, 9, 27

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73 and 81. The biggest common factor number is the **GCF** number.

So the **greatest common factor 73 and 81** is **1**.

Also check out the Least Common Multiple of 73 and 81