What is the Greatest Common Factor of 18000 and 18015?

Greatest common factor (GCF) of 18000 and 18015 is 15.

GCF(18000,18015) = 15

We will now calculate the prime factors of 18000 and 18015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18000 and 18015.

How to find the GCF of 18000 and 18015?

We will first find the prime factorization of 18000 and 18015. After we will calculate the factors of 18000 and 18015 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 18015

Prime factors of 18015 are 3, 5, 1201. Prime factorization of 18015 in exponential form is:

18015 = 3¹ × 5¹ × 1201¹

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 18015

List of positive integer factors of 18015 that divides 18000 without a remainder.

1, 3, 5, 15, 1201, 3603, 6005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18000 and 18015. The biggest common factor number is the GCF number.
So the greatest common factor 18000 and 18015 is 15.

Also check out the Least Common Multiple of 18000 and 18015