What is the Greatest Common Factor of 96585 and 96597?

Greatest common factor (GCF) of 96585 and 96597 is 3.

GCF(96585,96597) = 3

We will now calculate the prime factors of 96585 and 96597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96585 and 96597.

How to find the GCF of 96585 and 96597?

We will first find the prime factorization of 96585 and 96597. After we will calculate the factors of 96585 and 96597 and find the biggest common factor number .

Step-1: Prime Factorization of 96585

Prime factors of 96585 are 3, 5, 47, 137. Prime factorization of 96585 in exponential form is:

96585 = 3¹ × 5¹ × 47¹ × 137¹

Step-2: Prime Factorization of 96597

Prime factors of 96597 are 3, 10733. Prime factorization of 96597 in exponential form is:

96597 = 3² × 10733¹

Step-3: Factors of 96585

List of positive integer factors of 96585 that divides 96585 without a remainder.

1, 3, 5, 15, 47, 137, 141, 235, 411, 685, 705, 2055, 6439, 19317, 32195

Step-4: Factors of 96597

List of positive integer factors of 96597 that divides 96585 without a remainder.

1, 3, 9, 10733, 32199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96585 and 96597. The biggest common factor number is the GCF number.
So the greatest common factor 96585 and 96597 is 3.

Also check out the Least Common Multiple of 96585 and 96597