What is the Greatest Common Factor of 6308 and 6324?

Greatest common factor (GCF) of 6308 and 6324 is 4.

GCF(6308,6324) = 4

We will now calculate the prime factors of 6308 and 6324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6308 and 6324.

How to find the GCF of 6308 and 6324?

We will first find the prime factorization of 6308 and 6324. After we will calculate the factors of 6308 and 6324 and find the biggest common factor number .

Step-1: Prime Factorization of 6308

Prime factors of 6308 are 2, 19, 83. Prime factorization of 6308 in exponential form is:

6308 = 2² × 19¹ × 83¹

Step-2: 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-3: Factors of 6308

List of positive integer factors of 6308 that divides 6308 without a remainder.

1, 2, 4, 19, 38, 76, 83, 166, 332, 1577, 3154

Step-4: Factors of 6324

List of positive integer factors of 6324 that divides 6308 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6308 and 6324. The biggest common factor number is the GCF number.
So the greatest common factor 6308 and 6324 is 4.

Also check out the Least Common Multiple of 6308 and 6324