# What is the Greatest Common Factor of 115 and 132?

Greatest common factor (GCF) of 115 and 132 is 1.

GCF(115,132) = 1

We will now calculate the prime factors of 115 and 132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 115 and 132.

GCF Calculator and
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## How to find the GCF of 115 and 132?

We will first find the prime factorization of 115 and 132. After we will calculate the factors of 115 and 132 and find the biggest common factor number .

### Step-1: Prime Factorization of 115

Prime factors of 115 are 5, 23. Prime factorization of 115 in exponential form is:

115 = 51 × 231

### Step-2: Prime Factorization of 132

Prime factors of 132 are 2, 3, 11. Prime factorization of 132 in exponential form is:

132 = 22 × 31 × 111

### Step-3: Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1, 5, 23

### Step-4: Factors of 132

List of positive integer factors of 132 that divides 115 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 115 and 132. The biggest common factor number is the GCF number.
So the greatest common factor 115 and 132 is 1.

Also check out the Least Common Multiple of 115 and 132