What is the Greatest Common Factor of 6447 and 6462?

Greatest common factor (GCF) of 6447 and 6462 is 3.

GCF(6447,6462) = 3

We will now calculate the prime factors of 6447 and 6462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6447 and 6462.

How to find the GCF of 6447 and 6462?

We will first find the prime factorization of 6447 and 6462. After we will calculate the factors of 6447 and 6462 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6462

Prime factors of 6462 are 2, 3, 359. Prime factorization of 6462 in exponential form is:

6462 = 2¹ × 3² × 359¹

Step-3: Factors of 6447

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

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

Step-4: Factors of 6462

List of positive integer factors of 6462 that divides 6447 without a remainder.

1, 2, 3, 6, 9, 18, 359, 718, 1077, 2154, 3231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6447 and 6462. The biggest common factor number is the GCF number.
So the greatest common factor 6447 and 6462 is 3.

Also check out the Least Common Multiple of 6447 and 6462