# What is the Greatest Common Factor of 95 and 108?

Greatest common factor (GCF) of 95 and 108 is **1**.

GCF(95,108) = 1

We will now calculate the prime factors of **95 and 108**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 95 and 108.

## How to find the GCF of 95 and 108?

We will first find the prime factorization of 95 and 108. After we will calculate the factors of 95 and 108 and find the biggest common factor number .

### Step-1: 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-2: Prime Factorization of 108

Prime factors of 108 are 2, 3. Prime factorization of **108** in exponential form is:

108 = 2^{2} × 3^{3}

### Step-3: Factors of 95

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

1, 5, 19

### Step-4: Factors of 108

List of positive integer factors of 108 that divides 95 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95 and 108. The biggest common factor number is the **GCF** number.

So the **greatest common factor 95 and 108** is **1**.

Also check out the Least Common Multiple of 95 and 108

#### 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
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#### Related Greatest Common Factors of 108

- GCF of 108 and 112
- GCF of 108 and 113
- GCF of 108 and 114
- GCF of 108 and 115
- GCF of 108 and 116
- GCF of 108 and 117
- GCF of 108 and 118
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- GCF of 108 and 123
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- GCF of 108 and 125
- GCF of 108 and 126
- GCF of 108 and 127
- GCF of 108 and 128