What is the Greatest Common Factor of 96084 and 96088?

Greatest common factor (GCF) of 96084 and 96088 is 4.

GCF(96084,96088) = 4

We will now calculate the prime factors of 96084 and 96088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96084 and 96088.

How to find the GCF of 96084 and 96088?

We will first find the prime factorization of 96084 and 96088. After we will calculate the factors of 96084 and 96088 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 96088

Prime factors of 96088 are 2, 12011. Prime factorization of 96088 in exponential form is:

96088 = 2³ × 12011¹

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 96088

List of positive integer factors of 96088 that divides 96084 without a remainder.

1, 2, 4, 8, 12011, 24022, 48044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96084 and 96088. The biggest common factor number is the GCF number.
So the greatest common factor 96084 and 96088 is 4.

Also check out the Least Common Multiple of 96084 and 96088