# What is the Greatest Common Factor of 125 and 135?

Greatest common factor (GCF) of 125 and 135 is **5**.

GCF(125,135) = 5

We will now calculate the prime factors of **125 and 135**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 125 and 135.

## How to find the GCF of 125 and 135?

We will first find the prime factorization of 125 and 135. After we will calculate the factors of 125 and 135 and find the biggest common factor number .

### Step-1: Prime Factorization of 125

Prime factors of 125 are 5. Prime factorization of **125** in exponential form is:

125 = 5^{3}

### Step-2: Prime Factorization of 135

Prime factors of 135 are 3, 5. Prime factorization of **135** in exponential form is:

135 = 3^{3} × 5^{1}

### Step-3: Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1, 5, 25

### Step-4: Factors of 135

List of positive integer factors of 135 that divides 125 without a remainder.

1, 3, 5, 9, 15, 27, 45

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 125 and 135. The biggest common factor number is the **GCF** number.

So the **greatest common factor 125 and 135** is **5**.

Also check out the Least Common Multiple of 125 and 135

#### Related Greatest Common Factors of 125

- GCF of 125 and 129
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#### Related Greatest Common Factors of 135

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