What is the Greatest Common Factor of 18509 and 18513?

Greatest common factor (GCF) of 18509 and 18513 is 1.

GCF(18509,18513) = 1

We will now calculate the prime factors of 18509 and 18513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18509 and 18513.

How to find the GCF of 18509 and 18513?

We will first find the prime factorization of 18509 and 18513. After we will calculate the factors of 18509 and 18513 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 18513

Prime factors of 18513 are 3, 11, 17. Prime factorization of 18513 in exponential form is:

18513 = 3² × 11² × 17¹

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 18513

List of positive integer factors of 18513 that divides 18509 without a remainder.

1, 3, 9, 11, 17, 33, 51, 99, 121, 153, 187, 363, 561, 1089, 1683, 2057, 6171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18509 and 18513. The biggest common factor number is the GCF number.
So the greatest common factor 18509 and 18513 is 1.

Also check out the Least Common Multiple of 18509 and 18513