What is the Greatest Common Factor of 6330 and 6345?

Greatest common factor (GCF) of 6330 and 6345 is 15.

GCF(6330,6345) = 15

We will now calculate the prime factors of 6330 and 6345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6330 and 6345.

How to find the GCF of 6330 and 6345?

We will first find the prime factorization of 6330 and 6345. After we will calculate the factors of 6330 and 6345 and find the biggest common factor number .

Step-1: Prime Factorization of 6330

Prime factors of 6330 are 2, 3, 5, 211. Prime factorization of 6330 in exponential form is:

6330 = 2¹ × 3¹ × 5¹ × 211¹

Step-2: Prime Factorization of 6345

Prime factors of 6345 are 3, 5, 47. Prime factorization of 6345 in exponential form is:

6345 = 3³ × 5¹ × 47¹

Step-3: Factors of 6330

List of positive integer factors of 6330 that divides 6330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 211, 422, 633, 1055, 1266, 2110, 3165

Step-4: Factors of 6345

List of positive integer factors of 6345 that divides 6330 without a remainder.

1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6330 and 6345. The biggest common factor number is the GCF number.
So the greatest common factor 6330 and 6345 is 15.

Also check out the Least Common Multiple of 6330 and 6345