What is the Greatest Common Factor of 509 and 515?

Greatest common factor (GCF) of 509 and 515 is 1.

GCF(509,515) = 1

We will now calculate the prime factors of 509 and 515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 509 and 515.

How to find the GCF of 509 and 515?

We will first find the prime factorization of 509 and 515. After we will calculate the factors of 509 and 515 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 515

Prime factors of 515 are 5, 103. Prime factorization of 515 in exponential form is:

515 = 5¹ × 103¹

Step-3: Factors of 509

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

Step-4: Factors of 515

List of positive integer factors of 515 that divides 509 without a remainder.

1, 5, 103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 509 and 515. The biggest common factor number is the GCF number.
So the greatest common factor 509 and 515 is 1.

Also check out the Least Common Multiple of 509 and 515