What is the Greatest Common Factor of 23503 and 23509?

Greatest common factor (GCF) of 23503 and 23509 is 1.

GCF(23503,23509) = 1

We will now calculate the prime factors of 23503 and 23509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23503 and 23509.

How to find the GCF of 23503 and 23509?

We will first find the prime factorization of 23503 and 23509. After we will calculate the factors of 23503 and 23509 and find the biggest common factor number .

Step-1: Prime Factorization of 23503

Prime factors of 23503 are 19, 1237. Prime factorization of 23503 in exponential form is:

23503 = 19¹ × 1237¹

Step-2: Prime Factorization of 23509

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

23509 = 23509¹

Step-3: Factors of 23503

List of positive integer factors of 23503 that divides 23503 without a remainder.

1, 19, 1237

Step-4: Factors of 23509

List of positive integer factors of 23509 that divides 23503 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23503 and 23509. The biggest common factor number is the GCF number.
So the greatest common factor 23503 and 23509 is 1.

Also check out the Least Common Multiple of 23503 and 23509