What is the Greatest Common Factor of 17226 and 17241?

Greatest common factor (GCF) of 17226 and 17241 is 3.

GCF(17226,17241) = 3

We will now calculate the prime factors of 17226 and 17241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17226 and 17241.

How to find the GCF of 17226 and 17241?

We will first find the prime factorization of 17226 and 17241. After we will calculate the factors of 17226 and 17241 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 17241

Prime factors of 17241 are 3, 7, 821. Prime factorization of 17241 in exponential form is:

17241 = 3¹ × 7¹ × 821¹

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 17241

List of positive integer factors of 17241 that divides 17226 without a remainder.

1, 3, 7, 21, 821, 2463, 5747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17226 and 17241. The biggest common factor number is the GCF number.
So the greatest common factor 17226 and 17241 is 3.

Also check out the Least Common Multiple of 17226 and 17241