What is the Greatest Common Factor of 93168 and 93186?

Greatest common factor (GCF) of 93168 and 93186 is 18.

GCF(93168,93186) = 18

We will now calculate the prime factors of 93168 and 93186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93168 and 93186.

How to find the GCF of 93168 and 93186?

We will first find the prime factorization of 93168 and 93186. After we will calculate the factors of 93168 and 93186 and find the biggest common factor number .

Step-1: Prime Factorization of 93168

Prime factors of 93168 are 2, 3, 647. Prime factorization of 93168 in exponential form is:

93168 = 2⁴ × 3² × 647¹

Step-2: 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-3: Factors of 93168

List of positive integer factors of 93168 that divides 93168 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 647, 1294, 1941, 2588, 3882, 5176, 5823, 7764, 10352, 11646, 15528, 23292, 31056, 46584

Step-4: Factors of 93186

List of positive integer factors of 93186 that divides 93168 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93168 and 93186. The biggest common factor number is the GCF number.
So the greatest common factor 93168 and 93186 is 18.

Also check out the Least Common Multiple of 93168 and 93186