What is the Greatest Common Factor of 99084 and 99090?

Greatest common factor (GCF) of 99084 and 99090 is 6.

GCF(99084,99090) = 6

We will now calculate the prime factors of 99084 and 99090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99084 and 99090.

How to find the GCF of 99084 and 99090?

We will first find the prime factorization of 99084 and 99090. After we will calculate the factors of 99084 and 99090 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 99090

Prime factors of 99090 are 2, 3, 5, 367. Prime factorization of 99090 in exponential form is:

99090 = 2¹ × 3³ × 5¹ × 367¹

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 99090

List of positive integer factors of 99090 that divides 99084 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 367, 734, 1101, 1835, 2202, 3303, 3670, 5505, 6606, 9909, 11010, 16515, 19818, 33030, 49545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99084 and 99090. The biggest common factor number is the GCF number.
So the greatest common factor 99084 and 99090 is 6.

Also check out the Least Common Multiple of 99084 and 99090