What is the Greatest Common Factor of 23221 and 23226?

Greatest common factor (GCF) of 23221 and 23226 is 1.

GCF(23221,23226) = 1

We will now calculate the prime factors of 23221 and 23226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23221 and 23226.

How to find the GCF of 23221 and 23226?

We will first find the prime factorization of 23221 and 23226. After we will calculate the factors of 23221 and 23226 and find the biggest common factor number .

Step-1: Prime Factorization of 23221

Prime factors of 23221 are 11, 2111. Prime factorization of 23221 in exponential form is:

23221 = 11¹ × 2111¹

Step-2: 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-3: Factors of 23221

List of positive integer factors of 23221 that divides 23221 without a remainder.

1, 11, 2111

Step-4: Factors of 23226

List of positive integer factors of 23226 that divides 23221 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23221 and 23226. The biggest common factor number is the GCF number.
So the greatest common factor 23221 and 23226 is 1.

Also check out the Least Common Multiple of 23221 and 23226