What is the Greatest Common Factor of 99084 and 99096?

Greatest common factor (GCF) of 99084 and 99096 is 12.

GCF(99084,99096) = 12

We will now calculate the prime factors of 99084 and 99096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99084 and 99096.

How to find the GCF of 99084 and 99096?

We will first find the prime factorization of 99084 and 99096. After we will calculate the factors of 99084 and 99096 and find the biggest common factor number .

Step-1: Prime Factorization of 99084

Prime factors of 99084 are 2, 3, 23, 359. Prime factorization of 99084 in exponential form is:

99084 = 2² × 3¹ × 23¹ × 359¹

Step-2: Prime Factorization of 99096

Prime factors of 99096 are 2, 3, 4129. Prime factorization of 99096 in exponential form is:

99096 = 2³ × 3¹ × 4129¹

Step-3: Factors of 99084

List of positive integer factors of 99084 that divides 99084 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 359, 718, 1077, 1436, 2154, 4308, 8257, 16514, 24771, 33028, 49542

Step-4: Factors of 99096

List of positive integer factors of 99096 that divides 99084 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4129, 8258, 12387, 16516, 24774, 33032, 49548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99084 and 99096. The biggest common factor number is the GCF number.
So the greatest common factor 99084 and 99096 is 12.

Also check out the Least Common Multiple of 99084 and 99096