What is the Greatest Common Factor of 2367 and 2379?

Greatest common factor (GCF) of 2367 and 2379 is 3.

GCF(2367,2379) = 3

We will now calculate the prime factors of 2367 and 2379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2367 and 2379.

How to find the GCF of 2367 and 2379?

We will first find the prime factorization of 2367 and 2379. After we will calculate the factors of 2367 and 2379 and find the biggest common factor number .

Step-1: Prime Factorization of 2367

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

2367 = 3² × 263¹

Step-2: Prime Factorization of 2379

Prime factors of 2379 are 3, 13, 61. Prime factorization of 2379 in exponential form is:

2379 = 3¹ × 13¹ × 61¹

Step-3: Factors of 2367

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

1, 3, 9, 263, 789

Step-4: Factors of 2379

List of positive integer factors of 2379 that divides 2367 without a remainder.

1, 3, 13, 39, 61, 183, 793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2367 and 2379. The biggest common factor number is the GCF number.
So the greatest common factor 2367 and 2379 is 3.

Also check out the Least Common Multiple of 2367 and 2379