What is the Greatest Common Factor of 503 and 519?

Greatest common factor (GCF) of 503 and 519 is 1.

GCF(503,519) = 1

We will now calculate the prime factors of 503 and 519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 503 and 519.

How to find the GCF of 503 and 519?

We will first find the prime factorization of 503 and 519. After we will calculate the factors of 503 and 519 and find the biggest common factor number .

Step-1: Prime Factorization of 503

Prime factors of 503 are 503. Prime factorization of 503 in exponential form is:

503 = 503¹

Step-2: Prime Factorization of 519

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

519 = 3¹ × 173¹

Step-3: Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

Step-4: Factors of 519

List of positive integer factors of 519 that divides 503 without a remainder.

1, 3, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 503 and 519. The biggest common factor number is the GCF number.
So the greatest common factor 503 and 519 is 1.

Also check out the Least Common Multiple of 503 and 519