What is the Greatest Common Factor of 76382 and 76397?

Greatest common factor (GCF) of 76382 and 76397 is 1.

GCF(76382,76397) = 1

We will now calculate the prime factors of 76382 and 76397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76382 and 76397.

How to find the GCF of 76382 and 76397?

We will first find the prime factorization of 76382 and 76397. After we will calculate the factors of 76382 and 76397 and find the biggest common factor number .

Step-1: Prime Factorization of 76382

Prime factors of 76382 are 2, 181, 211. Prime factorization of 76382 in exponential form is:

76382 = 2¹ × 181¹ × 211¹

Step-2: Prime Factorization of 76397

Prime factors of 76397 are 241, 317. Prime factorization of 76397 in exponential form is:

76397 = 241¹ × 317¹

Step-3: Factors of 76382

List of positive integer factors of 76382 that divides 76382 without a remainder.

1, 2, 181, 211, 362, 422, 38191

Step-4: Factors of 76397

List of positive integer factors of 76397 that divides 76382 without a remainder.

1, 241, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76382 and 76397. The biggest common factor number is the GCF number.
So the greatest common factor 76382 and 76397 is 1.

Also check out the Least Common Multiple of 76382 and 76397