What is the Greatest Common Factor of 519 and 539?

Greatest common factor (GCF) of 519 and 539 is 1.

GCF(519,539) = 1

We will now calculate the prime factors of 519 and 539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 519 and 539.

How to find the GCF of 519 and 539?

We will first find the prime factorization of 519 and 539. After we will calculate the factors of 519 and 539 and find the biggest common factor number .

Step-1: Prime Factorization of 519

Prime factors of 519 are 3, 173. Prime factorization of 519 in exponential form is:

519 = 3¹ × 173¹

Step-2: Prime Factorization of 539

Prime factors of 539 are 7, 11. Prime factorization of 539 in exponential form is:

539 = 7² × 11¹

Step-3: Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1, 3, 173

Step-4: Factors of 539

List of positive integer factors of 539 that divides 519 without a remainder.

1, 7, 11, 49, 77

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 519 and 539. The biggest common factor number is the GCF number.
So the greatest common factor 519 and 539 is 1.

Also check out the Least Common Multiple of 519 and 539