What is the Greatest Common Factor of 2382 and 2395?

Greatest common factor (GCF) of 2382 and 2395 is 1.

GCF(2382,2395) = 1

We will now calculate the prime factors of 2382 and 2395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2382 and 2395.

How to find the GCF of 2382 and 2395?

We will first find the prime factorization of 2382 and 2395. After we will calculate the factors of 2382 and 2395 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 2395

Prime factors of 2395 are 5, 479. Prime factorization of 2395 in exponential form is:

2395 = 5¹ × 479¹

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 2395

List of positive integer factors of 2395 that divides 2382 without a remainder.

1, 5, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2382 and 2395. The biggest common factor number is the GCF number.
So the greatest common factor 2382 and 2395 is 1.

Also check out the Least Common Multiple of 2382 and 2395