What is the Greatest Common Factor of 6324 and 6338?

Greatest common factor (GCF) of 6324 and 6338 is 2.

GCF(6324,6338) = 2

We will now calculate the prime factors of 6324 and 6338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6324 and 6338.

How to find the GCF of 6324 and 6338?

We will first find the prime factorization of 6324 and 6338. After we will calculate the factors of 6324 and 6338 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 6338

Prime factors of 6338 are 2, 3169. Prime factorization of 6338 in exponential form is:

6338 = 2¹ × 3169¹

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 6338

List of positive integer factors of 6338 that divides 6324 without a remainder.

1, 2, 3169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6324 and 6338. The biggest common factor number is the GCF number.
So the greatest common factor 6324 and 6338 is 2.

Also check out the Least Common Multiple of 6324 and 6338