What is the Greatest Common Factor of 99180 and 99199?

Greatest common factor (GCF) of 99180 and 99199 is 19.

GCF(99180,99199) = 19

We will now calculate the prime factors of 99180 and 99199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99180 and 99199.

How to find the GCF of 99180 and 99199?

We will first find the prime factorization of 99180 and 99199. After we will calculate the factors of 99180 and 99199 and find the biggest common factor number .

Step-1: Prime Factorization of 99180

Prime factors of 99180 are 2, 3, 5, 19, 29. Prime factorization of 99180 in exponential form is:

99180 = 2² × 3² × 5¹ × 19¹ × 29¹

Step-2: Prime Factorization of 99199

Prime factors of 99199 are 19, 23, 227. Prime factorization of 99199 in exponential form is:

99199 = 19¹ × 23¹ × 227¹

Step-3: Factors of 99180

List of positive integer factors of 99180 that divides 99180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 29, 30, 36, 38, 45, 57, 58, 60, 76, 87, 90, 95, 114, 116, 145, 171, 174, 180, 190, 228, 261, 285, 290, 342, 348, 380, 435, 522, 551, 570, 580, 684, 855, 870, 1044, 1102, 1140, 1305, 1653, 1710, 1740, 2204, 2610, 2755, 3306, 3420, 4959, 5220, 5510, 6612, 8265, 9918, 11020, 16530, 19836, 24795, 33060, 49590

Step-4: Factors of 99199

List of positive integer factors of 99199 that divides 99180 without a remainder.

1, 19, 23, 227, 437, 4313, 5221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99180 and 99199. The biggest common factor number is the GCF number.
So the greatest common factor 99180 and 99199 is 19.

Also check out the Least Common Multiple of 99180 and 99199