What is the Greatest Common Factor of 96594 and 96608?

Greatest common factor (GCF) of 96594 and 96608 is 2.

GCF(96594,96608) = 2

We will now calculate the prime factors of 96594 and 96608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96594 and 96608.

How to find the GCF of 96594 and 96608?

We will first find the prime factorization of 96594 and 96608. After we will calculate the factors of 96594 and 96608 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 96608

Prime factors of 96608 are 2, 3019. Prime factorization of 96608 in exponential form is:

96608 = 2⁵ × 3019¹

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 96608

List of positive integer factors of 96608 that divides 96594 without a remainder.

1, 2, 4, 8, 16, 32, 3019, 6038, 12076, 24152, 48304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96594 and 96608. The biggest common factor number is the GCF number.
So the greatest common factor 96594 and 96608 is 2.

Also check out the Least Common Multiple of 96594 and 96608