What is the Greatest Common Factor of 2331 and 2347?

Greatest common factor (GCF) of 2331 and 2347 is 1.

GCF(2331,2347) = 1

We will now calculate the prime factors of 2331 and 2347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2331 and 2347.

How to find the GCF of 2331 and 2347?

We will first find the prime factorization of 2331 and 2347. After we will calculate the factors of 2331 and 2347 and find the biggest common factor number .

Step-1: Prime Factorization of 2331

Prime factors of 2331 are 3, 7, 37. Prime factorization of 2331 in exponential form is:

2331 = 3² × 7¹ × 37¹

Step-2: Prime Factorization of 2347

Prime factors of 2347 are 2347. Prime factorization of 2347 in exponential form is:

2347 = 2347¹

Step-3: Factors of 2331

List of positive integer factors of 2331 that divides 2331 without a remainder.

1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777

Step-4: Factors of 2347

List of positive integer factors of 2347 that divides 2331 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2331 and 2347. The biggest common factor number is the GCF number.
So the greatest common factor 2331 and 2347 is 1.

Also check out the Least Common Multiple of 2331 and 2347