# What is the Greatest Common Factor of 81 and 95?

Greatest common factor (GCF) of 81 and 95 is **1**.

GCF(81,95) = 1

We will now calculate the prime factors of **81 and 95**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 81 and 95.

## How to find the GCF of 81 and 95?

We will first find the prime factorization of 81 and 95. After we will calculate the factors of 81 and 95 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 95

Prime factors of 95 are 5, 19. Prime factorization of **95** in exponential form is:

95 = 5^{1} × 19^{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 95

List of positive integer factors of 95 that divides 81 without a remainder.

1, 5, 19

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81 and 95. The biggest common factor number is the **GCF** number.

So the **greatest common factor 81 and 95** is **1**.

Also check out the Least Common Multiple of 81 and 95

#### Related Greatest Common Factors of 81

#### Related Greatest Common Factors of 95

- GCF of 95 and 99
- GCF of 95 and 100
- GCF of 95 and 101
- GCF of 95 and 102
- GCF of 95 and 103
- GCF of 95 and 104
- GCF of 95 and 105
- GCF of 95 and 106
- GCF of 95 and 107
- GCF of 95 and 108
- GCF of 95 and 109
- GCF of 95 and 110
- GCF of 95 and 111
- GCF of 95 and 112
- GCF of 95 and 113
- GCF of 95 and 114
- GCF of 95 and 115