What is the Greatest Common Factor of 18500 and 18509?

Greatest common factor (GCF) of 18500 and 18509 is 1.

GCF(18500,18509) = 1

We will now calculate the prime factors of 18500 and 18509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18500 and 18509.

How to find the GCF of 18500 and 18509?

We will first find the prime factorization of 18500 and 18509. After we will calculate the factors of 18500 and 18509 and find the biggest common factor number .

Step-1: Prime Factorization of 18500

Prime factors of 18500 are 2, 5, 37. Prime factorization of 18500 in exponential form is:

18500 = 2² × 5³ × 37¹

Step-2: Prime Factorization of 18509

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

18509 = 83¹ × 223¹

Step-3: Factors of 18500

List of positive integer factors of 18500 that divides 18500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 125, 148, 185, 250, 370, 500, 740, 925, 1850, 3700, 4625, 9250

Step-4: Factors of 18509

List of positive integer factors of 18509 that divides 18500 without a remainder.

1, 83, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18500 and 18509. The biggest common factor number is the GCF number.
So the greatest common factor 18500 and 18509 is 1.

Also check out the Least Common Multiple of 18500 and 18509