What is the Greatest Common Factor of 2349 and 2368?

Greatest common factor (GCF) of 2349 and 2368 is 1.

GCF(2349,2368) = 1

We will now calculate the prime factors of 2349 and 2368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2349 and 2368.

How to find the GCF of 2349 and 2368?

We will first find the prime factorization of 2349 and 2368. After we will calculate the factors of 2349 and 2368 and find the biggest common factor number .

Step-1: Prime Factorization of 2349

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

2349 = 3⁴ × 29¹

Step-2: Prime Factorization of 2368

Prime factors of 2368 are 2, 37. Prime factorization of 2368 in exponential form is:

2368 = 2⁶ × 37¹

Step-3: Factors of 2349

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

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

Step-4: Factors of 2368

List of positive integer factors of 2368 that divides 2349 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2349 and 2368. The biggest common factor number is the GCF number.
So the greatest common factor 2349 and 2368 is 1.

Also check out the Least Common Multiple of 2349 and 2368