What is the Greatest Common Factor of 96509 and 96513?

Greatest common factor (GCF) of 96509 and 96513 is 1.

GCF(96509,96513) = 1

We will now calculate the prime factors of 96509 and 96513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96509 and 96513.

How to find the GCF of 96509 and 96513?

We will first find the prime factorization of 96509 and 96513. After we will calculate the factors of 96509 and 96513 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 96513

Prime factors of 96513 are 3, 53, 607. Prime factorization of 96513 in exponential form is:

96513 = 3¹ × 53¹ × 607¹

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 96513

List of positive integer factors of 96513 that divides 96509 without a remainder.

1, 3, 53, 159, 607, 1821, 32171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96509 and 96513. The biggest common factor number is the GCF number.
So the greatest common factor 96509 and 96513 is 1.

Also check out the Least Common Multiple of 96509 and 96513