What is the Greatest Common Factor of 96084 and 96099?

Greatest common factor (GCF) of 96084 and 96099 is 3.

GCF(96084,96099) = 3

We will now calculate the prime factors of 96084 and 96099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96084 and 96099.

How to find the GCF of 96084 and 96099?

We will first find the prime factorization of 96084 and 96099. After we will calculate the factors of 96084 and 96099 and find the biggest common factor number .

Step-1: Prime Factorization of 96084

Prime factors of 96084 are 2, 3, 17, 157. Prime factorization of 96084 in exponential form is:

96084 = 2² × 3² × 17¹ × 157¹

Step-2: Prime Factorization of 96099

Prime factors of 96099 are 3, 103, 311. Prime factorization of 96099 in exponential form is:

96099 = 3¹ × 103¹ × 311¹

Step-3: Factors of 96084

List of positive integer factors of 96084 that divides 96084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 157, 204, 306, 314, 471, 612, 628, 942, 1413, 1884, 2669, 2826, 5338, 5652, 8007, 10676, 16014, 24021, 32028, 48042

Step-4: Factors of 96099

List of positive integer factors of 96099 that divides 96084 without a remainder.

1, 3, 103, 309, 311, 933, 32033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96084 and 96099. The biggest common factor number is the GCF number.
So the greatest common factor 96084 and 96099 is 3.

Also check out the Least Common Multiple of 96084 and 96099