What is the Greatest Common Factor of 96585 and 96591?

Greatest common factor (GCF) of 96585 and 96591 is 3.

GCF(96585,96591) = 3

We will now calculate the prime factors of 96585 and 96591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96585 and 96591.

How to find the GCF of 96585 and 96591?

We will first find the prime factorization of 96585 and 96591. After we will calculate the factors of 96585 and 96591 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 96591

Prime factors of 96591 are 3, 11, 2927. Prime factorization of 96591 in exponential form is:

96591 = 3¹ × 11¹ × 2927¹

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 96591

List of positive integer factors of 96591 that divides 96585 without a remainder.

1, 3, 11, 33, 2927, 8781, 32197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96585 and 96591. The biggest common factor number is the GCF number.
So the greatest common factor 96585 and 96591 is 3.

Also check out the Least Common Multiple of 96585 and 96591