What is the Greatest Common Factor of 83297 and 83317?

Greatest common factor (GCF) of 83297 and 83317 is 1.

GCF(83297,83317) = 1

We will now calculate the prime factors of 83297 and 83317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83297 and 83317.

How to find the GCF of 83297 and 83317?

We will first find the prime factorization of 83297 and 83317. After we will calculate the factors of 83297 and 83317 and find the biggest common factor number .

Step-1: Prime Factorization of 83297

Prime factors of 83297 are 31, 2687. Prime factorization of 83297 in exponential form is:

83297 = 31¹ × 2687¹

Step-2: Prime Factorization of 83317

Prime factors of 83317 are 13, 17, 29. Prime factorization of 83317 in exponential form is:

83317 = 13² × 17¹ × 29¹

Step-3: Factors of 83297

List of positive integer factors of 83297 that divides 83297 without a remainder.

1, 31, 2687

Step-4: Factors of 83317

List of positive integer factors of 83317 that divides 83297 without a remainder.

1, 13, 17, 29, 169, 221, 377, 493, 2873, 4901, 6409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83297 and 83317. The biggest common factor number is the GCF number.
So the greatest common factor 83297 and 83317 is 1.

Also check out the Least Common Multiple of 83297 and 83317