# What is the Greatest Common Factor of 42 and 47?

Greatest common factor (GCF) of 42 and 47 is **1**.

GCF(42,47) = 1

We will now calculate the prime factors of **42 and 47**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 42 and 47.

## How to find the GCF of 42 and 47?

We will first find the prime factorization of 42 and 47. After we will calculate the factors of 42 and 47 and find the biggest common factor number .

### Step-1: Prime Factorization of 42

Prime factors of 42 are 2, 3, 7. Prime factorization of **42** in exponential form is:

42 = 2^{1} × 3^{1} × 7^{1}

### Step-2: Prime Factorization of 47

Prime factors of 47 are 47. Prime factorization of **47** in exponential form is:

47 = 47^{1}

### Step-3: Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21

### Step-4: Factors of 47

List of positive integer factors of 47 that divides 42 without a remainder.

1

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42 and 47. The biggest common factor number is the **GCF** number.

So the **greatest common factor 42 and 47** is **1**.

Also check out the Least Common Multiple of 42 and 47