What is the Greatest Common Factor of 99918 and 99936?

Greatest common factor (GCF) of 99918 and 99936 is 18.

GCF(99918,99936) = 18

We will now calculate the prime factors of 99918 and 99936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99918 and 99936.

How to find the GCF of 99918 and 99936?

We will first find the prime factorization of 99918 and 99936. After we will calculate the factors of 99918 and 99936 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99936

Prime factors of 99936 are 2, 3, 347. Prime factorization of 99936 in exponential form is:

99936 = 2⁵ × 3² × 347¹

Step-3: Factors of 99918

List of positive integer factors of 99918 that divides 99918 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

Step-4: Factors of 99936

List of positive integer factors of 99936 that divides 99918 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 347, 694, 1041, 1388, 2082, 2776, 3123, 4164, 5552, 6246, 8328, 11104, 12492, 16656, 24984, 33312, 49968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99918 and 99936. The biggest common factor number is the GCF number.
So the greatest common factor 99918 and 99936 is 18.

Also check out the Least Common Multiple of 99918 and 99936