What is the Greatest Common Factor of 13226 and 13238?

Greatest common factor (GCF) of 13226 and 13238 is 2.

GCF(13226,13238) = 2

We will now calculate the prime factors of 13226 and 13238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13226 and 13238.

How to find the GCF of 13226 and 13238?

We will first find the prime factorization of 13226 and 13238. After we will calculate the factors of 13226 and 13238 and find the biggest common factor number .

Step-1: Prime Factorization of 13226

Prime factors of 13226 are 2, 17, 389. Prime factorization of 13226 in exponential form is:

13226 = 2¹ × 17¹ × 389¹

Step-2: Prime Factorization of 13238

Prime factors of 13238 are 2, 6619. Prime factorization of 13238 in exponential form is:

13238 = 2¹ × 6619¹

Step-3: Factors of 13226

List of positive integer factors of 13226 that divides 13226 without a remainder.

1, 2, 17, 34, 389, 778, 6613

Step-4: Factors of 13238

List of positive integer factors of 13238 that divides 13226 without a remainder.

1, 2, 6619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13226 and 13238. The biggest common factor number is the GCF number.
So the greatest common factor 13226 and 13238 is 2.

Also check out the Least Common Multiple of 13226 and 13238