What is the Greatest Common Factor of 23307 and 23327?

Greatest common factor (GCF) of 23307 and 23327 is 1.

GCF(23307,23327) = 1

We will now calculate the prime factors of 23307 and 23327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23307 and 23327.

How to find the GCF of 23307 and 23327?

We will first find the prime factorization of 23307 and 23327. After we will calculate the factors of 23307 and 23327 and find the biggest common factor number .

Step-1: Prime Factorization of 23307

Prime factors of 23307 are 3, 17, 457. Prime factorization of 23307 in exponential form is:

23307 = 3¹ × 17¹ × 457¹

Step-2: Prime Factorization of 23327

Prime factors of 23327 are 23327. Prime factorization of 23327 in exponential form is:

23327 = 23327¹

Step-3: Factors of 23307

List of positive integer factors of 23307 that divides 23307 without a remainder.

1, 3, 17, 51, 457, 1371, 7769

Step-4: Factors of 23327

List of positive integer factors of 23327 that divides 23307 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23307 and 23327. The biggest common factor number is the GCF number.
So the greatest common factor 23307 and 23327 is 1.

Also check out the Least Common Multiple of 23307 and 23327