# What is the Greatest Common Factor of 59 and 66?

Greatest common factor (GCF) of 59 and 66 is **1**.

GCF(59,66) = 1

We will now calculate the prime factors of **59 and 66**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 59 and 66.

## How to find the GCF of 59 and 66?

We will first find the prime factorization of 59 and 66. After we will calculate the factors of 59 and 66 and find the biggest common factor number .

### Step-1: Prime Factorization of 59

Prime factors of 59 are 59. Prime factorization of **59** in exponential form is:

59 = 59^{1}

### Step-2: Prime Factorization of 66

Prime factors of 66 are 2, 3, 11. Prime factorization of **66** in exponential form is:

66 = 2^{1} × 3^{1} × 11^{1}

### Step-3: Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1

### Step-4: Factors of 66

List of positive integer factors of 66 that divides 59 without a remainder.

1, 2, 3, 6, 11, 22, 33

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59 and 66. The biggest common factor number is the **GCF** number.

So the **greatest common factor 59 and 66** is **1**.

Also check out the Least Common Multiple of 59 and 66