What is the Greatest Common Factor of 6307 and 6324?

Greatest common factor (GCF) of 6307 and 6324 is 17.

GCF(6307,6324) = 17

We will now calculate the prime factors of 6307 and 6324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6307 and 6324.

How to find the GCF of 6307 and 6324?

We will first find the prime factorization of 6307 and 6324. After we will calculate the factors of 6307 and 6324 and find the biggest common factor number .

Step-1: Prime Factorization of 6307

Prime factors of 6307 are 7, 17, 53. Prime factorization of 6307 in exponential form is:

6307 = 7¹ × 17¹ × 53¹

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 6307

List of positive integer factors of 6307 that divides 6307 without a remainder.

1, 7, 17, 53, 119, 371, 901

Step-4: Factors of 6324

List of positive integer factors of 6324 that divides 6307 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 6307 and 6324. The biggest common factor number is the GCF number.
So the greatest common factor 6307 and 6324 is 17.

Also check out the Least Common Multiple of 6307 and 6324