# What is the Greatest Common Factor of 47 and 53?

Greatest common factor (GCF) of 47 and 53 is 1.

GCF(47,53) = 1

We will now calculate the prime factors of 47 and 53, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47 and 53.

GCF Calculator and
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## How to find the GCF of 47 and 53?

We will first find the prime factorization of 47 and 53. After we will calculate the factors of 47 and 53 and find the biggest common factor number .

### Step-1: Prime Factorization of 47

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

47 = 471

### Step-2: Prime Factorization of 53

Prime factors of 53 are 53. Prime factorization of 53 in exponential form is:

53 = 531

### Step-3: Factors of 47

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

1

### Step-4: Factors of 53

List of positive integer factors of 53 that divides 47 without a remainder.

1

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47 and 53. The biggest common factor number is the GCF number.
So the greatest common factor 47 and 53 is 1.

Also check out the Least Common Multiple of 47 and 53