What is the Greatest Common Factor of 6321 and 6341?

Greatest common factor (GCF) of 6321 and 6341 is 1.

GCF(6321,6341) = 1

We will now calculate the prime factors of 6321 and 6341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6321 and 6341.

How to find the GCF of 6321 and 6341?

We will first find the prime factorization of 6321 and 6341. After we will calculate the factors of 6321 and 6341 and find the biggest common factor number .

Step-1: Prime Factorization of 6321

Prime factors of 6321 are 3, 7, 43. Prime factorization of 6321 in exponential form is:

6321 = 3¹ × 7² × 43¹

Step-2: Prime Factorization of 6341

Prime factors of 6341 are 17, 373. Prime factorization of 6341 in exponential form is:

6341 = 17¹ × 373¹

Step-3: Factors of 6321

List of positive integer factors of 6321 that divides 6321 without a remainder.

1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107

Step-4: Factors of 6341

List of positive integer factors of 6341 that divides 6321 without a remainder.

1, 17, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6321 and 6341. The biggest common factor number is the GCF number.
So the greatest common factor 6321 and 6341 is 1.

Also check out the Least Common Multiple of 6321 and 6341