What is the Greatest Common Factor of 41312 and 41317?

Greatest common factor (GCF) of 41312 and 41317 is 1.

GCF(41312,41317) = 1

We will now calculate the prime factors of 41312 and 41317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41312 and 41317.

How to find the GCF of 41312 and 41317?

We will first find the prime factorization of 41312 and 41317. After we will calculate the factors of 41312 and 41317 and find the biggest common factor number .

Step-1: Prime Factorization of 41312

Prime factors of 41312 are 2, 1291. Prime factorization of 41312 in exponential form is:

41312 = 2⁵ × 1291¹

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 41312

List of positive integer factors of 41312 that divides 41312 without a remainder.

1, 2, 4, 8, 16, 32, 1291, 2582, 5164, 10328, 20656

Step-4: Factors of 41317

List of positive integer factors of 41317 that divides 41312 without a remainder.

1, 79, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41312 and 41317. The biggest common factor number is the GCF number.
So the greatest common factor 41312 and 41317 is 1.

Also check out the Least Common Multiple of 41312 and 41317