What is the Greatest Common Factor of 6438 and 6443?

Greatest common factor (GCF) of 6438 and 6443 is 1.

GCF(6438,6443) = 1

We will now calculate the prime factors of 6438 and 6443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6438 and 6443.

How to find the GCF of 6438 and 6443?

We will first find the prime factorization of 6438 and 6443. After we will calculate the factors of 6438 and 6443 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 6443

Prime factors of 6443 are 17, 379. Prime factorization of 6443 in exponential form is:

6443 = 17¹ × 379¹

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 6443

List of positive integer factors of 6443 that divides 6438 without a remainder.

1, 17, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6438 and 6443. The biggest common factor number is the GCF number.
So the greatest common factor 6438 and 6443 is 1.

Also check out the Least Common Multiple of 6438 and 6443