What is the Greatest Common Factor of 6345 and 6360?

Greatest common factor (GCF) of 6345 and 6360 is 15.

GCF(6345,6360) = 15

We will now calculate the prime factors of 6345 and 6360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6345 and 6360.

How to find the GCF of 6345 and 6360?

We will first find the prime factorization of 6345 and 6360. After we will calculate the factors of 6345 and 6360 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6360

Prime factors of 6360 are 2, 3, 5, 53. Prime factorization of 6360 in exponential form is:

6360 = 2³ × 3¹ × 5¹ × 53¹

Step-3: Factors of 6345

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

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

Step-4: Factors of 6360

List of positive integer factors of 6360 that divides 6345 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 106, 120, 159, 212, 265, 318, 424, 530, 636, 795, 1060, 1272, 1590, 2120, 3180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6345 and 6360. The biggest common factor number is the GCF number.
So the greatest common factor 6345 and 6360 is 15.

Also check out the Least Common Multiple of 6345 and 6360