What is the Greatest Common Factor of 2376 and 2387?

Greatest common factor (GCF) of 2376 and 2387 is 11.

GCF(2376,2387) = 11

We will now calculate the prime factors of 2376 and 2387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2376 and 2387.

How to find the GCF of 2376 and 2387?

We will first find the prime factorization of 2376 and 2387. After we will calculate the factors of 2376 and 2387 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2387

Prime factors of 2387 are 7, 11, 31. Prime factorization of 2387 in exponential form is:

2387 = 7¹ × 11¹ × 31¹

Step-3: Factors of 2376

List of positive integer factors of 2376 that divides 2376 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

Step-4: Factors of 2387

List of positive integer factors of 2387 that divides 2376 without a remainder.

1, 7, 11, 31, 77, 217, 341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2376 and 2387. The biggest common factor number is the GCF number.
So the greatest common factor 2376 and 2387 is 11.

Also check out the Least Common Multiple of 2376 and 2387