What is the Greatest Common Factor of 2337 and 2349?

Greatest common factor (GCF) of 2337 and 2349 is 3.

GCF(2337,2349) = 3

We will now calculate the prime factors of 2337 and 2349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2337 and 2349.

How to find the GCF of 2337 and 2349?

We will first find the prime factorization of 2337 and 2349. After we will calculate the factors of 2337 and 2349 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 2349

Prime factors of 2349 are 3, 29. Prime factorization of 2349 in exponential form is:

2349 = 3⁴ × 29¹

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 2349

List of positive integer factors of 2349 that divides 2337 without a remainder.

1, 3, 9, 27, 29, 81, 87, 261, 783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2337 and 2349. The biggest common factor number is the GCF number.
So the greatest common factor 2337 and 2349 is 3.

Also check out the Least Common Multiple of 2337 and 2349