What is the Greatest Common Factor of 6396 and 6402?

Greatest common factor (GCF) of 6396 and 6402 is 6.

GCF(6396,6402) = 6

We will now calculate the prime factors of 6396 and 6402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6396 and 6402.

How to find the GCF of 6396 and 6402?

We will first find the prime factorization of 6396 and 6402. After we will calculate the factors of 6396 and 6402 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6402

Prime factors of 6402 are 2, 3, 11, 97. Prime factorization of 6402 in exponential form is:

6402 = 2¹ × 3¹ × 11¹ × 97¹

Step-3: Factors of 6396

List of positive integer factors of 6396 that divides 6396 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

Step-4: Factors of 6402

List of positive integer factors of 6402 that divides 6396 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 97, 194, 291, 582, 1067, 2134, 3201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6396 and 6402. The biggest common factor number is the GCF number.
So the greatest common factor 6396 and 6402 is 6.

Also check out the Least Common Multiple of 6396 and 6402