What is the Greatest Common Factor of 23509 and 23524?

Greatest common factor (GCF) of 23509 and 23524 is 1.

GCF(23509,23524) = 1

We will now calculate the prime factors of 23509 and 23524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23509 and 23524.

How to find the GCF of 23509 and 23524?

We will first find the prime factorization of 23509 and 23524. After we will calculate the factors of 23509 and 23524 and find the biggest common factor number .

Step-1: Prime Factorization of 23509

Prime factors of 23509 are 23509. Prime factorization of 23509 in exponential form is:

23509 = 23509¹

Step-2: Prime Factorization of 23524

Prime factors of 23524 are 2, 5881. Prime factorization of 23524 in exponential form is:

23524 = 2² × 5881¹

Step-3: Factors of 23509

List of positive integer factors of 23509 that divides 23509 without a remainder.

Step-4: Factors of 23524

List of positive integer factors of 23524 that divides 23509 without a remainder.

1, 2, 4, 5881, 11762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23509 and 23524. The biggest common factor number is the GCF number.
So the greatest common factor 23509 and 23524 is 1.

Also check out the Least Common Multiple of 23509 and 23524