What is the Greatest Common Factor of 99174 and 99180?

Greatest common factor (GCF) of 99174 and 99180 is 6.

GCF(99174,99180) = 6

We will now calculate the prime factors of 99174 and 99180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99174 and 99180.

How to find the GCF of 99174 and 99180?

We will first find the prime factorization of 99174 and 99180. After we will calculate the factors of 99174 and 99180 and find the biggest common factor number .

Step-1: Prime Factorization of 99174

Prime factors of 99174 are 2, 3, 16529. Prime factorization of 99174 in exponential form is:

99174 = 2¹ × 3¹ × 16529¹

Step-2: 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-3: Factors of 99174

List of positive integer factors of 99174 that divides 99174 without a remainder.

1, 2, 3, 6, 16529, 33058, 49587

Step-4: Factors of 99180

List of positive integer factors of 99180 that divides 99174 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99174 and 99180. The biggest common factor number is the GCF number.
So the greatest common factor 99174 and 99180 is 6.

Also check out the Least Common Multiple of 99174 and 99180