What is the Greatest Common Factor of 6324 and 6343?

Greatest common factor (GCF) of 6324 and 6343 is 1.

GCF(6324,6343) = 1

We will now calculate the prime factors of 6324 and 6343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6324 and 6343.

How to find the GCF of 6324 and 6343?

We will first find the prime factorization of 6324 and 6343. After we will calculate the factors of 6324 and 6343 and find the biggest common factor number .

Step-1: Prime Factorization of 6324

Prime factors of 6324 are 2, 3, 17, 31. Prime factorization of 6324 in exponential form is:

6324 = 2² × 3¹ × 17¹ × 31¹

Step-2: Prime Factorization of 6343

Prime factors of 6343 are 6343. Prime factorization of 6343 in exponential form is:

6343 = 6343¹

Step-3: Factors of 6324

List of positive integer factors of 6324 that divides 6324 without a remainder.

1, 2, 3, 4, 6, 12, 17, 31, 34, 51, 62, 68, 93, 102, 124, 186, 204, 372, 527, 1054, 1581, 2108, 3162

Step-4: Factors of 6343

List of positive integer factors of 6343 that divides 6324 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6324 and 6343. The biggest common factor number is the GCF number.
So the greatest common factor 6324 and 6343 is 1.

Also check out the Least Common Multiple of 6324 and 6343