What is the Greatest Common Factor of 96509 and 96517?

Greatest common factor (GCF) of 96509 and 96517 is 1.

GCF(96509,96517) = 1

We will now calculate the prime factors of 96509 and 96517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96509 and 96517.

How to find the GCF of 96509 and 96517?

We will first find the prime factorization of 96509 and 96517. After we will calculate the factors of 96509 and 96517 and find the biggest common factor number .

Step-1: Prime Factorization of 96509

Prime factors of 96509 are 7, 17, 811. Prime factorization of 96509 in exponential form is:

96509 = 7¹ × 17¹ × 811¹

Step-2: Prime Factorization of 96517

Prime factors of 96517 are 96517. Prime factorization of 96517 in exponential form is:

96517 = 96517¹

Step-3: Factors of 96509

List of positive integer factors of 96509 that divides 96509 without a remainder.

1, 7, 17, 119, 811, 5677, 13787

Step-4: Factors of 96517

List of positive integer factors of 96517 that divides 96509 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96509 and 96517. The biggest common factor number is the GCF number.
So the greatest common factor 96509 and 96517 is 1.

Also check out the Least Common Multiple of 96509 and 96517