What is the Greatest Common Factor of 23226 and 23241?

Greatest common factor (GCF) of 23226 and 23241 is 3.

GCF(23226,23241) = 3

We will now calculate the prime factors of 23226 and 23241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23226 and 23241.

How to find the GCF of 23226 and 23241?

We will first find the prime factorization of 23226 and 23241. After we will calculate the factors of 23226 and 23241 and find the biggest common factor number .

Step-1: Prime Factorization of 23226

Prime factors of 23226 are 2, 3, 7, 79. Prime factorization of 23226 in exponential form is:

23226 = 2¹ × 3¹ × 7² × 79¹

Step-2: Prime Factorization of 23241

Prime factors of 23241 are 3, 61, 127. Prime factorization of 23241 in exponential form is:

23241 = 3¹ × 61¹ × 127¹

Step-3: Factors of 23226

List of positive integer factors of 23226 that divides 23226 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 79, 98, 147, 158, 237, 294, 474, 553, 1106, 1659, 3318, 3871, 7742, 11613

Step-4: Factors of 23241

List of positive integer factors of 23241 that divides 23226 without a remainder.

1, 3, 61, 127, 183, 381, 7747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23226 and 23241. The biggest common factor number is the GCF number.
So the greatest common factor 23226 and 23241 is 3.

Also check out the Least Common Multiple of 23226 and 23241