What is the Greatest Common Factor of 6504 and 6508?

Greatest common factor (GCF) of 6504 and 6508 is 4.

GCF(6504,6508) = 4

We will now calculate the prime factors of 6504 and 6508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6504 and 6508.

How to find the GCF of 6504 and 6508?

We will first find the prime factorization of 6504 and 6508. After we will calculate the factors of 6504 and 6508 and find the biggest common factor number .

Step-1: Prime Factorization of 6504

Prime factors of 6504 are 2, 3, 271. Prime factorization of 6504 in exponential form is:

6504 = 2³ × 3¹ × 271¹

Step-2: Prime Factorization of 6508

Prime factors of 6508 are 2, 1627. Prime factorization of 6508 in exponential form is:

6508 = 2² × 1627¹

Step-3: Factors of 6504

List of positive integer factors of 6504 that divides 6504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252

Step-4: Factors of 6508

List of positive integer factors of 6508 that divides 6504 without a remainder.

1, 2, 4, 1627, 3254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6504 and 6508. The biggest common factor number is the GCF number.
So the greatest common factor 6504 and 6508 is 4.

Also check out the Least Common Multiple of 6504 and 6508