What is the Greatest Common Factor of 23160 and 23166?

Greatest common factor (GCF) of 23160 and 23166 is 6.

GCF(23160,23166) = 6

We will now calculate the prime factors of 23160 and 23166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23160 and 23166.

How to find the GCF of 23160 and 23166?

We will first find the prime factorization of 23160 and 23166. After we will calculate the factors of 23160 and 23166 and find the biggest common factor number .

Step-1: Prime Factorization of 23160

Prime factors of 23160 are 2, 3, 5, 193. Prime factorization of 23160 in exponential form is:

23160 = 2³ × 3¹ × 5¹ × 193¹

Step-2: Prime Factorization of 23166

Prime factors of 23166 are 2, 3, 11, 13. Prime factorization of 23166 in exponential form is:

23166 = 2¹ × 3⁴ × 11¹ × 13¹

Step-3: Factors of 23160

List of positive integer factors of 23160 that divides 23160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 193, 386, 579, 772, 965, 1158, 1544, 1930, 2316, 2895, 3860, 4632, 5790, 7720, 11580

Step-4: Factors of 23166

List of positive integer factors of 23166 that divides 23160 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 81, 99, 117, 143, 162, 198, 234, 286, 297, 351, 429, 594, 702, 858, 891, 1053, 1287, 1782, 2106, 2574, 3861, 7722, 11583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23160 and 23166. The biggest common factor number is the GCF number.
So the greatest common factor 23160 and 23166 is 6.

Also check out the Least Common Multiple of 23160 and 23166