# What is the Greatest Common Factor of 90 and 107?

Greatest common factor (GCF) of 90 and 107 is **1**.

GCF(90,107) = 1

We will now calculate the prime factors of **90 and 107**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 90 and 107.

## How to find the GCF of 90 and 107?

We will first find the prime factorization of 90 and 107. After we will calculate the factors of 90 and 107 and find the biggest common factor number .

### Step-1: Prime Factorization of 90

Prime factors of 90 are 2, 3, 5. Prime factorization of **90** in exponential form is:

90 = 2^{1} × 3^{2} × 5^{1}

### Step-2: Prime Factorization of 107

Prime factors of 107 are 107. Prime factorization of **107** in exponential form is:

107 = 107^{1}

### Step-3: Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45

### Step-4: Factors of 107

List of positive integer factors of 107 that divides 90 without a remainder.

1

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90 and 107. The biggest common factor number is the **GCF** number.

So the **greatest common factor 90 and 107** is **1**.

Also check out the Least Common Multiple of 90 and 107

#### Related Greatest Common Factors of 90

#### Related Greatest Common Factors of 107

- GCF of 107 and 111
- GCF of 107 and 112
- GCF of 107 and 113
- GCF of 107 and 114
- GCF of 107 and 115
- GCF of 107 and 116
- GCF of 107 and 117
- GCF of 107 and 118
- GCF of 107 and 119
- GCF of 107 and 120
- GCF of 107 and 121
- GCF of 107 and 122
- GCF of 107 and 123
- GCF of 107 and 124
- GCF of 107 and 125
- GCF of 107 and 126
- GCF of 107 and 127