What is the Greatest Common Factor of 23305 and 23317?

Greatest common factor (GCF) of 23305 and 23317 is 1.

GCF(23305,23317) = 1

We will now calculate the prime factors of 23305 and 23317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23305 and 23317.

How to find the GCF of 23305 and 23317?

We will first find the prime factorization of 23305 and 23317. After we will calculate the factors of 23305 and 23317 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 23317

Prime factors of 23317 are 7, 3331. Prime factorization of 23317 in exponential form is:

23317 = 7¹ × 3331¹

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 23317

List of positive integer factors of 23317 that divides 23305 without a remainder.

1, 7, 3331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23305 and 23317. The biggest common factor number is the GCF number.
So the greatest common factor 23305 and 23317 is 1.

Also check out the Least Common Multiple of 23305 and 23317