What is the Greatest Common Factor of 99918 and 99931?

Greatest common factor (GCF) of 99918 and 99931 is 13.

GCF(99918,99931) = 13

We will now calculate the prime factors of 99918 and 99931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99918 and 99931.

How to find the GCF of 99918 and 99931?

We will first find the prime factorization of 99918 and 99931. After we will calculate the factors of 99918 and 99931 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 99931

Prime factors of 99931 are 13, 7687. Prime factorization of 99931 in exponential form is:

99931 = 13¹ × 7687¹

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 99931

List of positive integer factors of 99931 that divides 99918 without a remainder.

1, 13, 7687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99918 and 99931. The biggest common factor number is the GCF number.
So the greatest common factor 99918 and 99931 is 13.

Also check out the Least Common Multiple of 99918 and 99931