What is the Greatest Common Factor of 2382 and 2388?

Greatest common factor (GCF) of 2382 and 2388 is 6.

GCF(2382,2388) = 6

We will now calculate the prime factors of 2382 and 2388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2382 and 2388.

How to find the GCF of 2382 and 2388?

We will first find the prime factorization of 2382 and 2388. After we will calculate the factors of 2382 and 2388 and find the biggest common factor number .

Step-1: Prime Factorization of 2382

Prime factors of 2382 are 2, 3, 397. Prime factorization of 2382 in exponential form is:

2382 = 2¹ × 3¹ × 397¹

Step-2: Prime Factorization of 2388

Prime factors of 2388 are 2, 3, 199. Prime factorization of 2388 in exponential form is:

2388 = 2² × 3¹ × 199¹

Step-3: Factors of 2382

List of positive integer factors of 2382 that divides 2382 without a remainder.

1, 2, 3, 6, 397, 794, 1191

Step-4: Factors of 2388

List of positive integer factors of 2388 that divides 2382 without a remainder.

1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2382 and 2388. The biggest common factor number is the GCF number.
So the greatest common factor 2382 and 2388 is 6.

Also check out the Least Common Multiple of 2382 and 2388