What is the Greatest Common Factor of 13176 and 13196?

Greatest common factor (GCF) of 13176 and 13196 is 4.

GCF(13176,13196) = 4

We will now calculate the prime factors of 13176 and 13196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13176 and 13196.

How to find the GCF of 13176 and 13196?

We will first find the prime factorization of 13176 and 13196. After we will calculate the factors of 13176 and 13196 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 13196

Prime factors of 13196 are 2, 3299. Prime factorization of 13196 in exponential form is:

13196 = 2² × 3299¹

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 13196

List of positive integer factors of 13196 that divides 13176 without a remainder.

1, 2, 4, 3299, 6598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13176 and 13196. The biggest common factor number is the GCF number.
So the greatest common factor 13176 and 13196 is 4.

Also check out the Least Common Multiple of 13176 and 13196