What is the Greatest Common Factor of 2337 and 2348?

Greatest common factor (GCF) of 2337 and 2348 is 1.

GCF(2337,2348) = 1

We will now calculate the prime factors of 2337 and 2348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2337 and 2348.

How to find the GCF of 2337 and 2348?

We will first find the prime factorization of 2337 and 2348. After we will calculate the factors of 2337 and 2348 and find the biggest common factor number .

Step-1: Prime Factorization of 2337

Prime factors of 2337 are 3, 19, 41. Prime factorization of 2337 in exponential form is:

2337 = 3¹ × 19¹ × 41¹

Step-2: Prime Factorization of 2348

Prime factors of 2348 are 2, 587. Prime factorization of 2348 in exponential form is:

2348 = 2² × 587¹

Step-3: Factors of 2337

List of positive integer factors of 2337 that divides 2337 without a remainder.

1, 3, 19, 41, 57, 123, 779

Step-4: Factors of 2348

List of positive integer factors of 2348 that divides 2337 without a remainder.

1, 2, 4, 587, 1174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2337 and 2348. The biggest common factor number is the GCF number.
So the greatest common factor 2337 and 2348 is 1.

Also check out the Least Common Multiple of 2337 and 2348