What is the Greatest Common Factor of 6438 and 6456?

Greatest common factor (GCF) of 6438 and 6456 is 6.

GCF(6438,6456) = 6

We will now calculate the prime factors of 6438 and 6456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6438 and 6456.

How to find the GCF of 6438 and 6456?

We will first find the prime factorization of 6438 and 6456. After we will calculate the factors of 6438 and 6456 and find the biggest common factor number .

Step-1: Prime Factorization of 6438

Prime factors of 6438 are 2, 3, 29, 37. Prime factorization of 6438 in exponential form is:

6438 = 2¹ × 3¹ × 29¹ × 37¹

Step-2: Prime Factorization of 6456

Prime factors of 6456 are 2, 3, 269. Prime factorization of 6456 in exponential form is:

6456 = 2³ × 3¹ × 269¹

Step-3: Factors of 6438

List of positive integer factors of 6438 that divides 6438 without a remainder.

1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219

Step-4: Factors of 6456

List of positive integer factors of 6456 that divides 6438 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 269, 538, 807, 1076, 1614, 2152, 3228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6438 and 6456. The biggest common factor number is the GCF number.
So the greatest common factor 6438 and 6456 is 6.

Also check out the Least Common Multiple of 6438 and 6456