What is the Greatest Common Factor of 6387 and 6405?

Greatest common factor (GCF) of 6387 and 6405 is 3.

GCF(6387,6405) = 3

We will now calculate the prime factors of 6387 and 6405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6387 and 6405.

How to find the GCF of 6387 and 6405?

We will first find the prime factorization of 6387 and 6405. After we will calculate the factors of 6387 and 6405 and find the biggest common factor number .

Step-1: Prime Factorization of 6387

Prime factors of 6387 are 3, 2129. Prime factorization of 6387 in exponential form is:

6387 = 3¹ × 2129¹

Step-2: Prime Factorization of 6405

Prime factors of 6405 are 3, 5, 7, 61. Prime factorization of 6405 in exponential form is:

6405 = 3¹ × 5¹ × 7¹ × 61¹

Step-3: Factors of 6387

List of positive integer factors of 6387 that divides 6387 without a remainder.

1, 3, 2129

Step-4: Factors of 6405

List of positive integer factors of 6405 that divides 6387 without a remainder.

1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6387 and 6405. The biggest common factor number is the GCF number.
So the greatest common factor 6387 and 6405 is 3.

Also check out the Least Common Multiple of 6387 and 6405