What is the Greatest Common Factor of 23309 and 23323?

Greatest common factor (GCF) of 23309 and 23323 is 1.

GCF(23309,23323) = 1

We will now calculate the prime factors of 23309 and 23323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23309 and 23323.

How to find the GCF of 23309 and 23323?

We will first find the prime factorization of 23309 and 23323. After we will calculate the factors of 23309 and 23323 and find the biggest common factor number .

Step-1: Prime Factorization of 23309

Prime factors of 23309 are 11, 13, 163. Prime factorization of 23309 in exponential form is:

23309 = 11¹ × 13¹ × 163¹

Step-2: Prime Factorization of 23323

Prime factors of 23323 are 83, 281. Prime factorization of 23323 in exponential form is:

23323 = 83¹ × 281¹

Step-3: Factors of 23309

List of positive integer factors of 23309 that divides 23309 without a remainder.

1, 11, 13, 143, 163, 1793, 2119

Step-4: Factors of 23323

List of positive integer factors of 23323 that divides 23309 without a remainder.

1, 83, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23309 and 23323. The biggest common factor number is the GCF number.
So the greatest common factor 23309 and 23323 is 1.

Also check out the Least Common Multiple of 23309 and 23323