What is the Greatest Common Factor of 96594 and 96609?

Greatest common factor (GCF) of 96594 and 96609 is 3.

GCF(96594,96609) = 3

We will now calculate the prime factors of 96594 and 96609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96594 and 96609.

How to find the GCF of 96594 and 96609?

We will first find the prime factorization of 96594 and 96609. After we will calculate the factors of 96594 and 96609 and find the biggest common factor number .

Step-1: Prime Factorization of 96594

Prime factors of 96594 are 2, 3, 17, 947. Prime factorization of 96594 in exponential form is:

96594 = 2¹ × 3¹ × 17¹ × 947¹

Step-2: Prime Factorization of 96609

Prime factors of 96609 are 3, 32203. Prime factorization of 96609 in exponential form is:

96609 = 3¹ × 32203¹

Step-3: Factors of 96594

List of positive integer factors of 96594 that divides 96594 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 947, 1894, 2841, 5682, 16099, 32198, 48297

Step-4: Factors of 96609

List of positive integer factors of 96609 that divides 96594 without a remainder.

1, 3, 32203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96594 and 96609. The biggest common factor number is the GCF number.
So the greatest common factor 96594 and 96609 is 3.

Also check out the Least Common Multiple of 96594 and 96609