What is the Greatest Common Factor of 23226 and 23233?

Greatest common factor (GCF) of 23226 and 23233 is 7.

GCF(23226,23233) = 7

We will now calculate the prime factors of 23226 and 23233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23226 and 23233.

How to find the GCF of 23226 and 23233?

We will first find the prime factorization of 23226 and 23233. After we will calculate the factors of 23226 and 23233 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 23233

Prime factors of 23233 are 7, 3319. Prime factorization of 23233 in exponential form is:

23233 = 7¹ × 3319¹

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 23233

List of positive integer factors of 23233 that divides 23226 without a remainder.

1, 7, 3319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23226 and 23233. The biggest common factor number is the GCF number.
So the greatest common factor 23226 and 23233 is 7.

Also check out the Least Common Multiple of 23226 and 23233