What is the Greatest Common Factor of 41314 and 41327?

Greatest common factor (GCF) of 41314 and 41327 is 13.

GCF(41314,41327) = 13

We will now calculate the prime factors of 41314 and 41327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41314 and 41327.

How to find the GCF of 41314 and 41327?

We will first find the prime factorization of 41314 and 41327. After we will calculate the factors of 41314 and 41327 and find the biggest common factor number .

Step-1: Prime Factorization of 41314

Prime factors of 41314 are 2, 7, 13, 227. Prime factorization of 41314 in exponential form is:

41314 = 2¹ × 7¹ × 13¹ × 227¹

Step-2: Prime Factorization of 41327

Prime factors of 41327 are 11, 13, 17. Prime factorization of 41327 in exponential form is:

41327 = 11¹ × 13¹ × 17²

Step-3: Factors of 41314

List of positive integer factors of 41314 that divides 41314 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 227, 454, 1589, 2951, 3178, 5902, 20657

Step-4: Factors of 41327

List of positive integer factors of 41327 that divides 41314 without a remainder.

1, 11, 13, 17, 143, 187, 221, 289, 2431, 3179, 3757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41314 and 41327. The biggest common factor number is the GCF number.
So the greatest common factor 41314 and 41327 is 13.

Also check out the Least Common Multiple of 41314 and 41327