What is the Greatest Common Factor of 99175 and 99180?

Greatest common factor (GCF) of 99175 and 99180 is 5.

GCF(99175,99180) = 5

We will now calculate the prime factors of 99175 and 99180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99175 and 99180.

How to find the GCF of 99175 and 99180?

We will first find the prime factorization of 99175 and 99180. After we will calculate the factors of 99175 and 99180 and find the biggest common factor number .

Step-1: Prime Factorization of 99175

Prime factors of 99175 are 5, 3967. Prime factorization of 99175 in exponential form is:

99175 = 5² × 3967¹

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 99175

List of positive integer factors of 99175 that divides 99175 without a remainder.

1, 5, 25, 3967, 19835

Step-4: Factors of 99180

List of positive integer factors of 99180 that divides 99175 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 99175 and 99180. The biggest common factor number is the GCF number.
So the greatest common factor 99175 and 99180 is 5.

Also check out the Least Common Multiple of 99175 and 99180