What is the Greatest Common Factor of 99882 and 99900?

Greatest common factor (GCF) of 99882 and 99900 is 18.

GCF(99882,99900) = 18

We will now calculate the prime factors of 99882 and 99900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99882 and 99900.

How to find the GCF of 99882 and 99900?

We will first find the prime factorization of 99882 and 99900. After we will calculate the factors of 99882 and 99900 and find the biggest common factor number .

Step-1: Prime Factorization of 99882

Prime factors of 99882 are 2, 3, 31, 179. Prime factorization of 99882 in exponential form is:

99882 = 2¹ × 3² × 31¹ × 179¹

Step-2: Prime Factorization of 99900

Prime factors of 99900 are 2, 3, 5, 37. Prime factorization of 99900 in exponential form is:

99900 = 2² × 3³ × 5² × 37¹

Step-3: Factors of 99882

List of positive integer factors of 99882 that divides 99882 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 179, 186, 279, 358, 537, 558, 1074, 1611, 3222, 5549, 11098, 16647, 33294, 49941

Step-4: Factors of 99900

List of positive integer factors of 99900 that divides 99882 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 37, 45, 50, 54, 60, 74, 75, 90, 100, 108, 111, 135, 148, 150, 180, 185, 222, 225, 270, 300, 333, 370, 444, 450, 540, 555, 666, 675, 740, 900, 925, 999, 1110, 1332, 1350, 1665, 1850, 1998, 2220, 2700, 2775, 3330, 3700, 3996, 4995, 5550, 6660, 8325, 9990, 11100, 16650, 19980, 24975, 33300, 49950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99882 and 99900. The biggest common factor number is the GCF number.
So the greatest common factor 99882 and 99900 is 18.

Also check out the Least Common Multiple of 99882 and 99900