What is the Greatest Common Factor of 96585 and 96601?

Greatest common factor (GCF) of 96585 and 96601 is 1.

GCF(96585,96601) = 1

We will now calculate the prime factors of 96585 and 96601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96585 and 96601.

How to find the GCF of 96585 and 96601?

We will first find the prime factorization of 96585 and 96601. After we will calculate the factors of 96585 and 96601 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 96601

Prime factors of 96601 are 96601. Prime factorization of 96601 in exponential form is:

96601 = 96601¹

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 96601

List of positive integer factors of 96601 that divides 96585 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96585 and 96601. The biggest common factor number is the GCF number.
So the greatest common factor 96585 and 96601 is 1.

Also check out the Least Common Multiple of 96585 and 96601