What is the Greatest Common Factor of 6369 and 6387?

Greatest common factor (GCF) of 6369 and 6387 is 3.

GCF(6369,6387) = 3

We will now calculate the prime factors of 6369 and 6387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6369 and 6387.

How to find the GCF of 6369 and 6387?

We will first find the prime factorization of 6369 and 6387. After we will calculate the factors of 6369 and 6387 and find the biggest common factor number .

Step-1: Prime Factorization of 6369

Prime factors of 6369 are 3, 11, 193. Prime factorization of 6369 in exponential form is:

6369 = 3¹ × 11¹ × 193¹

Step-2: Prime Factorization of 6387

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

6387 = 3¹ × 2129¹

Step-3: Factors of 6369

List of positive integer factors of 6369 that divides 6369 without a remainder.

1, 3, 11, 33, 193, 579, 2123

Step-4: Factors of 6387

List of positive integer factors of 6387 that divides 6369 without a remainder.

1, 3, 2129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6369 and 6387. The biggest common factor number is the GCF number.
So the greatest common factor 6369 and 6387 is 3.

Also check out the Least Common Multiple of 6369 and 6387