What is the Greatest Common Factor of 2379 and 2391?

Greatest common factor (GCF) of 2379 and 2391 is 3.

GCF(2379,2391) = 3

We will now calculate the prime factors of 2379 and 2391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2379 and 2391.

How to find the GCF of 2379 and 2391?

We will first find the prime factorization of 2379 and 2391. After we will calculate the factors of 2379 and 2391 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2391

Prime factors of 2391 are 3, 797. Prime factorization of 2391 in exponential form is:

2391 = 3¹ × 797¹

Step-3: Factors of 2379

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

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

Step-4: Factors of 2391

List of positive integer factors of 2391 that divides 2379 without a remainder.

1, 3, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2379 and 2391. The biggest common factor number is the GCF number.
So the greatest common factor 2379 and 2391 is 3.

Also check out the Least Common Multiple of 2379 and 2391