What is the Greatest Common Factor of 13158 and 13176?

Greatest common factor (GCF) of 13158 and 13176 is 18.

GCF(13158,13176) = 18

We will now calculate the prime factors of 13158 and 13176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13158 and 13176.

How to find the GCF of 13158 and 13176?

We will first find the prime factorization of 13158 and 13176. After we will calculate the factors of 13158 and 13176 and find the biggest common factor number .

Step-1: Prime Factorization of 13158

Prime factors of 13158 are 2, 3, 17, 43. Prime factorization of 13158 in exponential form is:

13158 = 2¹ × 3² × 17¹ × 43¹

Step-2: Prime Factorization of 13176

Prime factors of 13176 are 2, 3, 61. Prime factorization of 13176 in exponential form is:

13176 = 2³ × 3³ × 61¹

Step-3: Factors of 13158

List of positive integer factors of 13158 that divides 13158 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 43, 51, 86, 102, 129, 153, 258, 306, 387, 731, 774, 1462, 2193, 4386, 6579

Step-4: Factors of 13176

List of positive integer factors of 13176 that divides 13158 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 61, 72, 108, 122, 183, 216, 244, 366, 488, 549, 732, 1098, 1464, 1647, 2196, 3294, 4392, 6588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13158 and 13176. The biggest common factor number is the GCF number.
So the greatest common factor 13158 and 13176 is 18.

Also check out the Least Common Multiple of 13158 and 13176