What is the Greatest Common Factor of 99900 and 99918?

Greatest common factor (GCF) of 99900 and 99918 is 18.

GCF(99900,99918) = 18

We will now calculate the prime factors of 99900 and 99918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99900 and 99918.

How to find the GCF of 99900 and 99918?

We will first find the prime factorization of 99900 and 99918. After we will calculate the factors of 99900 and 99918 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99918

Prime factors of 99918 are 2, 3, 7, 13, 61. Prime factorization of 99918 in exponential form is:

99918 = 2¹ × 3² × 7¹ × 13¹ × 61¹

Step-3: Factors of 99900

List of positive integer factors of 99900 that divides 99900 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

Step-4: Factors of 99918

List of positive integer factors of 99918 that divides 99900 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 61, 63, 78, 91, 117, 122, 126, 182, 183, 234, 273, 366, 427, 546, 549, 793, 819, 854, 1098, 1281, 1586, 1638, 2379, 2562, 3843, 4758, 5551, 7137, 7686, 11102, 14274, 16653, 33306, 49959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99900 and 99918. The biggest common factor number is the GCF number.
So the greatest common factor 99900 and 99918 is 18.

Also check out the Least Common Multiple of 99900 and 99918