What is the Greatest Common Factor of 41297 and 41313?

Greatest common factor (GCF) of 41297 and 41313 is 1.

GCF(41297,41313) = 1

We will now calculate the prime factors of 41297 and 41313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41297 and 41313.

How to find the GCF of 41297 and 41313?

We will first find the prime factorization of 41297 and 41313. After we will calculate the factors of 41297 and 41313 and find the biggest common factor number .

Step-1: Prime Factorization of 41297

Prime factors of 41297 are 61, 677. Prime factorization of 41297 in exponential form is:

41297 = 61¹ × 677¹

Step-2: Prime Factorization of 41313

Prime factors of 41313 are 3, 47, 293. Prime factorization of 41313 in exponential form is:

41313 = 3¹ × 47¹ × 293¹

Step-3: Factors of 41297

List of positive integer factors of 41297 that divides 41297 without a remainder.

1, 61, 677

Step-4: Factors of 41313

List of positive integer factors of 41313 that divides 41297 without a remainder.

1, 3, 47, 141, 293, 879, 13771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41297 and 41313. The biggest common factor number is the GCF number.
So the greatest common factor 41297 and 41313 is 1.

Also check out the Least Common Multiple of 41297 and 41313