What is the Greatest Common Factor of 96499 and 96509?

Greatest common factor (GCF) of 96499 and 96509 is 1.

GCF(96499,96509) = 1

We will now calculate the prime factors of 96499 and 96509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96499 and 96509.

How to find the GCF of 96499 and 96509?

We will first find the prime factorization of 96499 and 96509. After we will calculate the factors of 96499 and 96509 and find the biggest common factor number .

Step-1: Prime Factorization of 96499

Prime factors of 96499 are 13, 571. Prime factorization of 96499 in exponential form is:

96499 = 13² × 571¹

Step-2: 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-3: Factors of 96499

List of positive integer factors of 96499 that divides 96499 without a remainder.

1, 13, 169, 571, 7423

Step-4: Factors of 96509

List of positive integer factors of 96509 that divides 96499 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96499 and 96509. The biggest common factor number is the GCF number.
So the greatest common factor 96499 and 96509 is 1.

Also check out the Least Common Multiple of 96499 and 96509