What is the Greatest Common Factor of 6519 and 6537?

Greatest common factor (GCF) of 6519 and 6537 is 3.

GCF(6519,6537) = 3

We will now calculate the prime factors of 6519 and 6537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6519 and 6537.

How to find the GCF of 6519 and 6537?

We will first find the prime factorization of 6519 and 6537. After we will calculate the factors of 6519 and 6537 and find the biggest common factor number .

Step-1: Prime Factorization of 6519

Prime factors of 6519 are 3, 41, 53. Prime factorization of 6519 in exponential form is:

6519 = 3¹ × 41¹ × 53¹

Step-2: Prime Factorization of 6537

Prime factors of 6537 are 3, 2179. Prime factorization of 6537 in exponential form is:

6537 = 3¹ × 2179¹

Step-3: Factors of 6519

List of positive integer factors of 6519 that divides 6519 without a remainder.

1, 3, 41, 53, 123, 159, 2173

Step-4: Factors of 6537

List of positive integer factors of 6537 that divides 6519 without a remainder.

1, 3, 2179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6519 and 6537. The biggest common factor number is the GCF number.
So the greatest common factor 6519 and 6537 is 3.

Also check out the Least Common Multiple of 6519 and 6537