What is the Greatest Common Factor of 34317 and 34337?

Greatest common factor (GCF) of 34317 and 34337 is 1.

GCF(34317,34337) = 1

We will now calculate the prime factors of 34317 and 34337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34317 and 34337.

How to find the GCF of 34317 and 34337?

We will first find the prime factorization of 34317 and 34337. After we will calculate the factors of 34317 and 34337 and find the biggest common factor number .

Step-1: Prime Factorization of 34317

Prime factors of 34317 are 3, 31, 41. Prime factorization of 34317 in exponential form is:

34317 = 3³ × 31¹ × 41¹

Step-2: Prime Factorization of 34337

Prime factors of 34337 are 34337. Prime factorization of 34337 in exponential form is:

34337 = 34337¹

Step-3: Factors of 34317

List of positive integer factors of 34317 that divides 34317 without a remainder.

1, 3, 9, 27, 31, 41, 93, 123, 279, 369, 837, 1107, 1271, 3813, 11439

Step-4: Factors of 34337

List of positive integer factors of 34337 that divides 34317 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34317 and 34337. The biggest common factor number is the GCF number.
So the greatest common factor 34317 and 34337 is 1.

Also check out the Least Common Multiple of 34317 and 34337