What is the Greatest Common Factor of 18509 and 18523?

Greatest common factor (GCF) of 18509 and 18523 is 1.

GCF(18509,18523) = 1

We will now calculate the prime factors of 18509 and 18523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18509 and 18523.

How to find the GCF of 18509 and 18523?

We will first find the prime factorization of 18509 and 18523. After we will calculate the factors of 18509 and 18523 and find the biggest common factor number .

Step-1: Prime Factorization of 18509

Prime factors of 18509 are 83, 223. Prime factorization of 18509 in exponential form is:

18509 = 83¹ × 223¹

Step-2: Prime Factorization of 18523

Prime factors of 18523 are 18523. Prime factorization of 18523 in exponential form is:

18523 = 18523¹

Step-3: Factors of 18509

List of positive integer factors of 18509 that divides 18509 without a remainder.

1, 83, 223

Step-4: Factors of 18523

List of positive integer factors of 18523 that divides 18509 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18509 and 18523. The biggest common factor number is the GCF number.
So the greatest common factor 18509 and 18523 is 1.

Also check out the Least Common Multiple of 18509 and 18523