What is the Greatest Common Factor of 99918 and 99934?

Greatest common factor (GCF) of 99918 and 99934 is 2.

GCF(99918,99934) = 2

We will now calculate the prime factors of 99918 and 99934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99918 and 99934.

How to find the GCF of 99918 and 99934?

We will first find the prime factorization of 99918 and 99934. After we will calculate the factors of 99918 and 99934 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 99934

Prime factors of 99934 are 2, 29, 1723. Prime factorization of 99934 in exponential form is:

99934 = 2¹ × 29¹ × 1723¹

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 99934

List of positive integer factors of 99934 that divides 99918 without a remainder.

1, 2, 29, 58, 1723, 3446, 49967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99918 and 99934. The biggest common factor number is the GCF number.
So the greatest common factor 99918 and 99934 is 2.

Also check out the Least Common Multiple of 99918 and 99934