What is the Greatest Common Factor of 13186 and 13204?

Greatest common factor (GCF) of 13186 and 13204 is 2.

GCF(13186,13204) = 2

We will now calculate the prime factors of 13186 and 13204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13186 and 13204.

How to find the GCF of 13186 and 13204?

We will first find the prime factorization of 13186 and 13204. After we will calculate the factors of 13186 and 13204 and find the biggest common factor number .

Step-1: Prime Factorization of 13186

Prime factors of 13186 are 2, 19, 347. Prime factorization of 13186 in exponential form is:

13186 = 2¹ × 19¹ × 347¹

Step-2: Prime Factorization of 13204

Prime factors of 13204 are 2, 3301. Prime factorization of 13204 in exponential form is:

13204 = 2² × 3301¹

Step-3: Factors of 13186

List of positive integer factors of 13186 that divides 13186 without a remainder.

1, 2, 19, 38, 347, 694, 6593

Step-4: Factors of 13204

List of positive integer factors of 13204 that divides 13186 without a remainder.

1, 2, 4, 3301, 6602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13186 and 13204. The biggest common factor number is the GCF number.
So the greatest common factor 13186 and 13204 is 2.

Also check out the Least Common Multiple of 13186 and 13204