# What is the Greatest Common Factor of 27 and 41?

Greatest common factor (GCF) of 27 and 41 is **1**.

GCF(27,41) = 1

We will now calculate the prime factors of **27 and 41**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 27 and 41.

## How to find the GCF of 27 and 41?

We will first find the prime factorization of 27 and 41. After we will calculate the factors of 27 and 41 and find the biggest common factor number .

### Step-1: Prime Factorization of 27

Prime factors of 27 are 3. Prime factorization of **27** in exponential form is:

27 = 3^{3}

### Step-2: Prime Factorization of 41

Prime factors of 41 are 41. Prime factorization of **41** in exponential form is:

41 = 41^{1}

### Step-3: Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1, 3, 9

### Step-4: Factors of 41

List of positive integer factors of 41 that divides 27 without a remainder.

1

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27 and 41. The biggest common factor number is the **GCF** number.

So the **greatest common factor 27 and 41** is **1**.

Also check out the Least Common Multiple of 27 and 41