What is the Greatest Common Factor of 80509 and 80517?

Greatest common factor (GCF) of 80509 and 80517 is 1.

GCF(80509,80517) = 1

We will now calculate the prime factors of 80509 and 80517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80509 and 80517.

How to find the GCF of 80509 and 80517?

We will first find the prime factorization of 80509 and 80517. After we will calculate the factors of 80509 and 80517 and find the biggest common factor number .

Step-1: Prime Factorization of 80509

Prime factors of 80509 are 11, 13, 563. Prime factorization of 80509 in exponential form is:

80509 = 11¹ × 13¹ × 563¹

Step-2: Prime Factorization of 80517

Prime factors of 80517 are 3, 26839. Prime factorization of 80517 in exponential form is:

80517 = 3¹ × 26839¹

Step-3: Factors of 80509

List of positive integer factors of 80509 that divides 80509 without a remainder.

1, 11, 13, 143, 563, 6193, 7319

Step-4: Factors of 80517

List of positive integer factors of 80517 that divides 80509 without a remainder.

1, 3, 26839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80509 and 80517. The biggest common factor number is the GCF number.
So the greatest common factor 80509 and 80517 is 1.

Also check out the Least Common Multiple of 80509 and 80517