What is the Greatest Common Factor of 2349 and 2361?

Greatest common factor (GCF) of 2349 and 2361 is 3.

GCF(2349,2361) = 3

We will now calculate the prime factors of 2349 and 2361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2349 and 2361.

How to find the GCF of 2349 and 2361?

We will first find the prime factorization of 2349 and 2361. After we will calculate the factors of 2349 and 2361 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 2361

Prime factors of 2361 are 3, 787. Prime factorization of 2361 in exponential form is:

2361 = 3¹ × 787¹

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 2361

List of positive integer factors of 2361 that divides 2349 without a remainder.

1, 3, 787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2349 and 2361. The biggest common factor number is the GCF number.
So the greatest common factor 2349 and 2361 is 3.

Also check out the Least Common Multiple of 2349 and 2361