What is the Greatest Common Factor of 2349 and 2367?

Greatest common factor (GCF) of 2349 and 2367 is 9.

GCF(2349,2367) = 9

We will now calculate the prime factors of 2349 and 2367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2349 and 2367.

How to find the GCF of 2349 and 2367?

We will first find the prime factorization of 2349 and 2367. After we will calculate the factors of 2349 and 2367 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 2367

Prime factors of 2367 are 3, 263. Prime factorization of 2367 in exponential form is:

2367 = 3² × 263¹

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 2367

List of positive integer factors of 2367 that divides 2349 without a remainder.

1, 3, 9, 263, 789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2349 and 2367. The biggest common factor number is the GCF number.
So the greatest common factor 2349 and 2367 is 9.

Also check out the Least Common Multiple of 2349 and 2367