What is the Greatest Common Factor of 13186 and 13202?

Greatest common factor (GCF) of 13186 and 13202 is 2.

GCF(13186,13202) = 2

We will now calculate the prime factors of 13186 and 13202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13186 and 13202.

How to find the GCF of 13186 and 13202?

We will first find the prime factorization of 13186 and 13202. After we will calculate the factors of 13186 and 13202 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 13202

Prime factors of 13202 are 2, 7, 23, 41. Prime factorization of 13202 in exponential form is:

13202 = 2¹ × 7¹ × 23¹ × 41¹

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 13202

List of positive integer factors of 13202 that divides 13186 without a remainder.

1, 2, 7, 14, 23, 41, 46, 82, 161, 287, 322, 574, 943, 1886, 6601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13186 and 13202. The biggest common factor number is the GCF number.
So the greatest common factor 13186 and 13202 is 2.

Also check out the Least Common Multiple of 13186 and 13202