What is the Greatest Common Factor of 41309 and 41317?

Greatest common factor (GCF) of 41309 and 41317 is 1.

GCF(41309,41317) = 1

We will now calculate the prime factors of 41309 and 41317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41309 and 41317.

How to find the GCF of 41309 and 41317?

We will first find the prime factorization of 41309 and 41317. After we will calculate the factors of 41309 and 41317 and find the biggest common factor number .

Step-1: Prime Factorization of 41309

Prime factors of 41309 are 101, 409. Prime factorization of 41309 in exponential form is:

41309 = 101¹ × 409¹

Step-2: Prime Factorization of 41317

Prime factors of 41317 are 79, 523. Prime factorization of 41317 in exponential form is:

41317 = 79¹ × 523¹

Step-3: Factors of 41309

List of positive integer factors of 41309 that divides 41309 without a remainder.

1, 101, 409

Step-4: Factors of 41317

List of positive integer factors of 41317 that divides 41309 without a remainder.

1, 79, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41309 and 41317. The biggest common factor number is the GCF number.
So the greatest common factor 41309 and 41317 is 1.

Also check out the Least Common Multiple of 41309 and 41317