What is the Greatest Common Factor of 17226 and 17237?

Greatest common factor (GCF) of 17226 and 17237 is 11.

GCF(17226,17237) = 11

We will now calculate the prime factors of 17226 and 17237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17226 and 17237.

How to find the GCF of 17226 and 17237?

We will first find the prime factorization of 17226 and 17237. After we will calculate the factors of 17226 and 17237 and find the biggest common factor number .

Step-1: Prime Factorization of 17226

Prime factors of 17226 are 2, 3, 11, 29. Prime factorization of 17226 in exponential form is:

17226 = 2¹ × 3³ × 11¹ × 29¹

Step-2: Prime Factorization of 17237

Prime factors of 17237 are 11, 1567. Prime factorization of 17237 in exponential form is:

17237 = 11¹ × 1567¹

Step-3: Factors of 17226

List of positive integer factors of 17226 that divides 17226 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 29, 33, 54, 58, 66, 87, 99, 174, 198, 261, 297, 319, 522, 594, 638, 783, 957, 1566, 1914, 2871, 5742, 8613

Step-4: Factors of 17237

List of positive integer factors of 17237 that divides 17226 without a remainder.

1, 11, 1567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17226 and 17237. The biggest common factor number is the GCF number.
So the greatest common factor 17226 and 17237 is 11.

Also check out the Least Common Multiple of 17226 and 17237