What is the Greatest Common Factor of 2337 and 2343?

Greatest common factor (GCF) of 2337 and 2343 is 3.

GCF(2337,2343) = 3

We will now calculate the prime factors of 2337 and 2343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2337 and 2343.

How to find the GCF of 2337 and 2343?

We will first find the prime factorization of 2337 and 2343. After we will calculate the factors of 2337 and 2343 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 2343

Prime factors of 2343 are 3, 11, 71. Prime factorization of 2343 in exponential form is:

2343 = 3¹ × 11¹ × 71¹

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 2343

List of positive integer factors of 2343 that divides 2337 without a remainder.

1, 3, 11, 33, 71, 213, 781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2337 and 2343. The biggest common factor number is the GCF number.
So the greatest common factor 2337 and 2343 is 3.

Also check out the Least Common Multiple of 2337 and 2343