What is the Greatest Common Factor of 6314 and 6327?

Greatest common factor (GCF) of 6314 and 6327 is 1.

GCF(6314,6327) = 1

We will now calculate the prime factors of 6314 and 6327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6314 and 6327.

How to find the GCF of 6314 and 6327?

We will first find the prime factorization of 6314 and 6327. After we will calculate the factors of 6314 and 6327 and find the biggest common factor number .

Step-1: Prime Factorization of 6314

Prime factors of 6314 are 2, 7, 11, 41. Prime factorization of 6314 in exponential form is:

6314 = 2¹ × 7¹ × 11¹ × 41¹

Step-2: Prime Factorization of 6327

Prime factors of 6327 are 3, 19, 37. Prime factorization of 6327 in exponential form is:

6327 = 3² × 19¹ × 37¹

Step-3: Factors of 6314

List of positive integer factors of 6314 that divides 6314 without a remainder.

1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157

Step-4: Factors of 6327

List of positive integer factors of 6327 that divides 6314 without a remainder.

1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6314 and 6327. The biggest common factor number is the GCF number.
So the greatest common factor 6314 and 6327 is 1.

Also check out the Least Common Multiple of 6314 and 6327