What is the Greatest Common Factor of 76397 and 76417?

Greatest common factor (GCF) of 76397 and 76417 is 1.

GCF(76397,76417) = 1

We will now calculate the prime factors of 76397 and 76417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76397 and 76417.

How to find the GCF of 76397 and 76417?

We will first find the prime factorization of 76397 and 76417. After we will calculate the factors of 76397 and 76417 and find the biggest common factor number .

Step-1: Prime Factorization of 76397

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

76397 = 241¹ × 317¹

Step-2: Prime Factorization of 76417

Prime factors of 76417 are 11, 6947. Prime factorization of 76417 in exponential form is:

76417 = 11¹ × 6947¹

Step-3: Factors of 76397

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

1, 241, 317

Step-4: Factors of 76417

List of positive integer factors of 76417 that divides 76397 without a remainder.

1, 11, 6947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76397 and 76417. The biggest common factor number is the GCF number.
So the greatest common factor 76397 and 76417 is 1.

Also check out the Least Common Multiple of 76397 and 76417