What is the Greatest Common Factor of 23305 and 23322?

Greatest common factor (GCF) of 23305 and 23322 is 1.

GCF(23305,23322) = 1

We will now calculate the prime factors of 23305 and 23322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23305 and 23322.

How to find the GCF of 23305 and 23322?

We will first find the prime factorization of 23305 and 23322. After we will calculate the factors of 23305 and 23322 and find the biggest common factor number .

Step-1: Prime Factorization of 23305

Prime factors of 23305 are 5, 59, 79. Prime factorization of 23305 in exponential form is:

23305 = 5¹ × 59¹ × 79¹

Step-2: Prime Factorization of 23322

Prime factors of 23322 are 2, 3, 13, 23. Prime factorization of 23322 in exponential form is:

23322 = 2¹ × 3¹ × 13² × 23¹

Step-3: Factors of 23305

List of positive integer factors of 23305 that divides 23305 without a remainder.

1, 5, 59, 79, 295, 395, 4661

Step-4: Factors of 23322

List of positive integer factors of 23322 that divides 23305 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 169, 299, 338, 507, 598, 897, 1014, 1794, 3887, 7774, 11661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23305 and 23322. The biggest common factor number is the GCF number.
So the greatest common factor 23305 and 23322 is 1.

Also check out the Least Common Multiple of 23305 and 23322