What is the Greatest Common Factor of 99180 and 99190?

Greatest common factor (GCF) of 99180 and 99190 is 10.

GCF(99180,99190) = 10

We will now calculate the prime factors of 99180 and 99190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99180 and 99190.

How to find the GCF of 99180 and 99190?

We will first find the prime factorization of 99180 and 99190. After we will calculate the factors of 99180 and 99190 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 99190

Prime factors of 99190 are 2, 5, 7, 13, 109. Prime factorization of 99190 in exponential form is:

99190 = 2¹ × 5¹ × 7¹ × 13¹ × 109¹

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 99190

List of positive integer factors of 99190 that divides 99180 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 109, 130, 182, 218, 455, 545, 763, 910, 1090, 1417, 1526, 2834, 3815, 7085, 7630, 9919, 14170, 19838, 49595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99180 and 99190. The biggest common factor number is the GCF number.
So the greatest common factor 99180 and 99190 is 10.

Also check out the Least Common Multiple of 99180 and 99190