What is the Greatest Common Factor of 6438 and 6447?

Greatest common factor (GCF) of 6438 and 6447 is 3.

GCF(6438,6447) = 3

We will now calculate the prime factors of 6438 and 6447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6438 and 6447.

How to find the GCF of 6438 and 6447?

We will first find the prime factorization of 6438 and 6447. After we will calculate the factors of 6438 and 6447 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 6447

Prime factors of 6447 are 3, 7, 307. Prime factorization of 6447 in exponential form is:

6447 = 3¹ × 7¹ × 307¹

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 6447

List of positive integer factors of 6447 that divides 6438 without a remainder.

1, 3, 7, 21, 307, 921, 2149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6438 and 6447. The biggest common factor number is the GCF number.
So the greatest common factor 6438 and 6447 is 3.

Also check out the Least Common Multiple of 6438 and 6447