What is the Greatest Common Factor of 18523 and 18529?

Greatest common factor (GCF) of 18523 and 18529 is 1.

GCF(18523,18529) = 1

We will now calculate the prime factors of 18523 and 18529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18523 and 18529.

How to find the GCF of 18523 and 18529?

We will first find the prime factorization of 18523 and 18529. After we will calculate the factors of 18523 and 18529 and find the biggest common factor number .

Step-1: Prime Factorization of 18523

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

18523 = 18523¹

Step-2: Prime Factorization of 18529

Prime factors of 18529 are 7, 2647. Prime factorization of 18529 in exponential form is:

18529 = 7¹ × 2647¹

Step-3: Factors of 18523

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

Step-4: Factors of 18529

List of positive integer factors of 18529 that divides 18523 without a remainder.

1, 7, 2647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18523 and 18529. The biggest common factor number is the GCF number.
So the greatest common factor 18523 and 18529 is 1.

Also check out the Least Common Multiple of 18523 and 18529