What is the Greatest Common Factor of 13186 and 13194?

Greatest common factor (GCF) of 13186 and 13194 is 2.

GCF(13186,13194) = 2

We will now calculate the prime factors of 13186 and 13194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13186 and 13194.

How to find the GCF of 13186 and 13194?

We will first find the prime factorization of 13186 and 13194. After we will calculate the factors of 13186 and 13194 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 13194

Prime factors of 13194 are 2, 3, 733. Prime factorization of 13194 in exponential form is:

13194 = 2¹ × 3² × 733¹

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 13194

List of positive integer factors of 13194 that divides 13186 without a remainder.

1, 2, 3, 6, 9, 18, 733, 1466, 2199, 4398, 6597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13186 and 13194. The biggest common factor number is the GCF number.
So the greatest common factor 13186 and 13194 is 2.

Also check out the Least Common Multiple of 13186 and 13194