What is the Greatest Common Factor of 2387 and 2398?

Greatest common factor (GCF) of 2387 and 2398 is 11.

GCF(2387,2398) = 11

We will now calculate the prime factors of 2387 and 2398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2387 and 2398.

How to find the GCF of 2387 and 2398?

We will first find the prime factorization of 2387 and 2398. After we will calculate the factors of 2387 and 2398 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2398

Prime factors of 2398 are 2, 11, 109. Prime factorization of 2398 in exponential form is:

2398 = 2¹ × 11¹ × 109¹

Step-3: Factors of 2387

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

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

Step-4: Factors of 2398

List of positive integer factors of 2398 that divides 2387 without a remainder.

1, 2, 11, 22, 109, 218, 1199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2387 and 2398. The biggest common factor number is the GCF number.
So the greatest common factor 2387 and 2398 is 11.

Also check out the Least Common Multiple of 2387 and 2398