What is the Greatest Common Factor of 6324 and 6339?

Greatest common factor (GCF) of 6324 and 6339 is 3.

GCF(6324,6339) = 3

We will now calculate the prime factors of 6324 and 6339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6324 and 6339.

How to find the GCF of 6324 and 6339?

We will first find the prime factorization of 6324 and 6339. After we will calculate the factors of 6324 and 6339 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 6339

Prime factors of 6339 are 3, 2113. Prime factorization of 6339 in exponential form is:

6339 = 3¹ × 2113¹

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 6339

List of positive integer factors of 6339 that divides 6324 without a remainder.

1, 3, 2113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6324 and 6339. The biggest common factor number is the GCF number.
So the greatest common factor 6324 and 6339 is 3.

Also check out the Least Common Multiple of 6324 and 6339