What is the Greatest Common Factor of 6519 and 6529?

Greatest common factor (GCF) of 6519 and 6529 is 1.

GCF(6519,6529) = 1

We will now calculate the prime factors of 6519 and 6529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6519 and 6529.

How to find the GCF of 6519 and 6529?

We will first find the prime factorization of 6519 and 6529. After we will calculate the factors of 6519 and 6529 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 6529

Prime factors of 6529 are 6529. Prime factorization of 6529 in exponential form is:

6529 = 6529¹

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 6529

List of positive integer factors of 6529 that divides 6519 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6519 and 6529. The biggest common factor number is the GCF number.
So the greatest common factor 6519 and 6529 is 1.

Also check out the Least Common Multiple of 6519 and 6529