What is the Greatest Common Factor of 6381 and 6396?

Greatest common factor (GCF) of 6381 and 6396 is 3.

GCF(6381,6396) = 3

We will now calculate the prime factors of 6381 and 6396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6381 and 6396.

How to find the GCF of 6381 and 6396?

We will first find the prime factorization of 6381 and 6396. After we will calculate the factors of 6381 and 6396 and find the biggest common factor number .

Step-1: Prime Factorization of 6381

Prime factors of 6381 are 3, 709. Prime factorization of 6381 in exponential form is:

6381 = 3² × 709¹

Step-2: Prime Factorization of 6396

Prime factors of 6396 are 2, 3, 13, 41. Prime factorization of 6396 in exponential form is:

6396 = 2² × 3¹ × 13¹ × 41¹

Step-3: Factors of 6381

List of positive integer factors of 6381 that divides 6381 without a remainder.

1, 3, 9, 709, 2127

Step-4: Factors of 6396

List of positive integer factors of 6396 that divides 6381 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 246, 492, 533, 1066, 1599, 2132, 3198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6381 and 6396. The biggest common factor number is the GCF number.
So the greatest common factor 6381 and 6396 is 3.

Also check out the Least Common Multiple of 6381 and 6396