What is the Greatest Common Factor of 13164 and 13176?

Greatest common factor (GCF) of 13164 and 13176 is 12.

GCF(13164,13176) = 12

We will now calculate the prime factors of 13164 and 13176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13164 and 13176.

How to find the GCF of 13164 and 13176?

We will first find the prime factorization of 13164 and 13176. After we will calculate the factors of 13164 and 13176 and find the biggest common factor number .

Step-1: Prime Factorization of 13164

Prime factors of 13164 are 2, 3, 1097. Prime factorization of 13164 in exponential form is:

13164 = 2² × 3¹ × 1097¹

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 13164

List of positive integer factors of 13164 that divides 13164 without a remainder.

1, 2, 3, 4, 6, 12, 1097, 2194, 3291, 4388, 6582

Step-4: Factors of 13176

List of positive integer factors of 13176 that divides 13164 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 13164 and 13176. The biggest common factor number is the GCF number.
So the greatest common factor 13164 and 13176 is 12.

Also check out the Least Common Multiple of 13164 and 13176