What is the Greatest Common Factor of 2365 and 2376?

Greatest common factor (GCF) of 2365 and 2376 is 11.

GCF(2365,2376) = 11

We will now calculate the prime factors of 2365 and 2376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2365 and 2376.

How to find the GCF of 2365 and 2376?

We will first find the prime factorization of 2365 and 2376. After we will calculate the factors of 2365 and 2376 and find the biggest common factor number .

Step-1: Prime Factorization of 2365

Prime factors of 2365 are 5, 11, 43. Prime factorization of 2365 in exponential form is:

2365 = 5¹ × 11¹ × 43¹

Step-2: Prime Factorization of 2376

Prime factors of 2376 are 2, 3, 11. Prime factorization of 2376 in exponential form is:

2376 = 2³ × 3³ × 11¹

Step-3: Factors of 2365

List of positive integer factors of 2365 that divides 2365 without a remainder.

1, 5, 11, 43, 55, 215, 473

Step-4: Factors of 2376

List of positive integer factors of 2376 that divides 2365 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2365 and 2376. The biggest common factor number is the GCF number.
So the greatest common factor 2365 and 2376 is 11.

Also check out the Least Common Multiple of 2365 and 2376