What is the Greatest Common Factor of 18500 and 18519?

Greatest common factor (GCF) of 18500 and 18519 is 1.

GCF(18500,18519) = 1

We will now calculate the prime factors of 18500 and 18519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18500 and 18519.

How to find the GCF of 18500 and 18519?

We will first find the prime factorization of 18500 and 18519. After we will calculate the factors of 18500 and 18519 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 18519

Prime factors of 18519 are 3, 6173. Prime factorization of 18519 in exponential form is:

18519 = 3¹ × 6173¹

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 18519

List of positive integer factors of 18519 that divides 18500 without a remainder.

1, 3, 6173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18500 and 18519. The biggest common factor number is the GCF number.
So the greatest common factor 18500 and 18519 is 1.

Also check out the Least Common Multiple of 18500 and 18519