What is the Greatest Common Factor of 93186 and 93198?

Greatest common factor (GCF) of 93186 and 93198 is 6.

GCF(93186,93198) = 6

We will now calculate the prime factors of 93186 and 93198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93186 and 93198.

How to find the GCF of 93186 and 93198?

We will first find the prime factorization of 93186 and 93198. After we will calculate the factors of 93186 and 93198 and find the biggest common factor number .

Step-1: Prime Factorization of 93186

Prime factors of 93186 are 2, 3, 31, 167. Prime factorization of 93186 in exponential form is:

93186 = 2¹ × 3² × 31¹ × 167¹

Step-2: Prime Factorization of 93198

Prime factors of 93198 are 2, 3, 7, 317. Prime factorization of 93198 in exponential form is:

93198 = 2¹ × 3¹ × 7² × 317¹

Step-3: Factors of 93186

List of positive integer factors of 93186 that divides 93186 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 167, 186, 279, 334, 501, 558, 1002, 1503, 3006, 5177, 10354, 15531, 31062, 46593

Step-4: Factors of 93198

List of positive integer factors of 93198 that divides 93186 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 317, 634, 951, 1902, 2219, 4438, 6657, 13314, 15533, 31066, 46599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93186 and 93198. The biggest common factor number is the GCF number.
So the greatest common factor 93186 and 93198 is 6.

Also check out the Least Common Multiple of 93186 and 93198