What is the Greatest Common Factor of 18000 and 18019?

Greatest common factor (GCF) of 18000 and 18019 is 1.

GCF(18000,18019) = 1

We will now calculate the prime factors of 18000 and 18019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18000 and 18019.

How to find the GCF of 18000 and 18019?

We will first find the prime factorization of 18000 and 18019. After we will calculate the factors of 18000 and 18019 and find the biggest common factor number .

Step-1: Prime Factorization of 18000

Prime factors of 18000 are 2, 3, 5. Prime factorization of 18000 in exponential form is:

18000 = 2⁴ × 3² × 5³

Step-2: Prime Factorization of 18019

Prime factors of 18019 are 37, 487. Prime factorization of 18019 in exponential form is:

18019 = 37¹ × 487¹

Step-3: Factors of 18000

List of positive integer factors of 18000 that divides 18000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 125, 144, 150, 180, 200, 225, 240, 250, 300, 360, 375, 400, 450, 500, 600, 720, 750, 900, 1000, 1125, 1200, 1500, 1800, 2000, 2250, 3000, 3600, 4500, 6000, 9000

Step-4: Factors of 18019

List of positive integer factors of 18019 that divides 18000 without a remainder.

1, 37, 487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18000 and 18019. The biggest common factor number is the GCF number.
So the greatest common factor 18000 and 18019 is 1.

Also check out the Least Common Multiple of 18000 and 18019