What is the Greatest Common Factor of 99918 and 99938?

Greatest common factor (GCF) of 99918 and 99938 is 2.

GCF(99918,99938) = 2

We will now calculate the prime factors of 99918 and 99938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99918 and 99938.

How to find the GCF of 99918 and 99938?

We will first find the prime factorization of 99918 and 99938. After we will calculate the factors of 99918 and 99938 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 99938

Prime factors of 99938 are 2, 107, 467. Prime factorization of 99938 in exponential form is:

99938 = 2¹ × 107¹ × 467¹

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 99938

List of positive integer factors of 99938 that divides 99918 without a remainder.

1, 2, 107, 214, 467, 934, 49969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99918 and 99938. The biggest common factor number is the GCF number.
So the greatest common factor 99918 and 99938 is 2.

Also check out the Least Common Multiple of 99918 and 99938