What is the Greatest Common Factor of 96588 and 96606?

Greatest common factor (GCF) of 96588 and 96606 is 18.

GCF(96588,96606) = 18

We will now calculate the prime factors of 96588 and 96606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96588 and 96606.

How to find the GCF of 96588 and 96606?

We will first find the prime factorization of 96588 and 96606. After we will calculate the factors of 96588 and 96606 and find the biggest common factor number .

Step-1: Prime Factorization of 96588

Prime factors of 96588 are 2, 3, 2683. Prime factorization of 96588 in exponential form is:

96588 = 2² × 3² × 2683¹

Step-2: Prime Factorization of 96606

Prime factors of 96606 are 2, 3, 1789. Prime factorization of 96606 in exponential form is:

96606 = 2¹ × 3³ × 1789¹

Step-3: Factors of 96588

List of positive integer factors of 96588 that divides 96588 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2683, 5366, 8049, 10732, 16098, 24147, 32196, 48294

Step-4: Factors of 96606

List of positive integer factors of 96606 that divides 96588 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1789, 3578, 5367, 10734, 16101, 32202, 48303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96588 and 96606. The biggest common factor number is the GCF number.
So the greatest common factor 96588 and 96606 is 18.

Also check out the Least Common Multiple of 96588 and 96606