What is the Greatest Common Factor of 23166 and 23177?

Greatest common factor (GCF) of 23166 and 23177 is 11.

GCF(23166,23177) = 11

We will now calculate the prime factors of 23166 and 23177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23166 and 23177.

How to find the GCF of 23166 and 23177?

We will first find the prime factorization of 23166 and 23177. After we will calculate the factors of 23166 and 23177 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23177

Prime factors of 23177 are 7, 11, 43. Prime factorization of 23177 in exponential form is:

23177 = 7² × 11¹ × 43¹

Step-3: Factors of 23166

List of positive integer factors of 23166 that divides 23166 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

Step-4: Factors of 23177

List of positive integer factors of 23177 that divides 23166 without a remainder.

1, 7, 11, 43, 49, 77, 301, 473, 539, 2107, 3311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23166 and 23177. The biggest common factor number is the GCF number.
So the greatest common factor 23166 and 23177 is 11.

Also check out the Least Common Multiple of 23166 and 23177