What is the Greatest Common Factor of 509 and 516?

Greatest common factor (GCF) of 509 and 516 is 1.

GCF(509,516) = 1

We will now calculate the prime factors of 509 and 516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 509 and 516.

How to find the GCF of 509 and 516?

We will first find the prime factorization of 509 and 516. After we will calculate the factors of 509 and 516 and find the biggest common factor number .

Step-1: Prime Factorization of 509

Prime factors of 509 are 509. Prime factorization of 509 in exponential form is:

509 = 509¹

Step-2: Prime Factorization of 516

Prime factors of 516 are 2, 3, 43. Prime factorization of 516 in exponential form is:

516 = 2² × 3¹ × 43¹

Step-3: Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

Step-4: Factors of 516

List of positive integer factors of 516 that divides 509 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 509 and 516. The biggest common factor number is the GCF number.
So the greatest common factor 509 and 516 is 1.

Also check out the Least Common Multiple of 509 and 516