What is the Greatest Common Factor of 13176 and 13191?

Greatest common factor (GCF) of 13176 and 13191 is 3.

GCF(13176,13191) = 3

We will now calculate the prime factors of 13176 and 13191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13176 and 13191.

How to find the GCF of 13176 and 13191?

We will first find the prime factorization of 13176 and 13191. After we will calculate the factors of 13176 and 13191 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13191

Prime factors of 13191 are 3, 4397. Prime factorization of 13191 in exponential form is:

13191 = 3¹ × 4397¹

Step-3: Factors of 13176

List of positive integer factors of 13176 that divides 13176 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

Step-4: Factors of 13191

List of positive integer factors of 13191 that divides 13176 without a remainder.

1, 3, 4397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13176 and 13191. The biggest common factor number is the GCF number.
So the greatest common factor 13176 and 13191 is 3.

Also check out the Least Common Multiple of 13176 and 13191