What is the Greatest Common Factor of 18000 and 18020?

Greatest common factor (GCF) of 18000 and 18020 is 20.

GCF(18000,18020) = 20

We will now calculate the prime factors of 18000 and 18020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18000 and 18020.

How to find the GCF of 18000 and 18020?

We will first find the prime factorization of 18000 and 18020. After we will calculate the factors of 18000 and 18020 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 18020

Prime factors of 18020 are 2, 5, 17, 53. Prime factorization of 18020 in exponential form is:

18020 = 2² × 5¹ × 17¹ × 53¹

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 18020

List of positive integer factors of 18020 that divides 18000 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 53, 68, 85, 106, 170, 212, 265, 340, 530, 901, 1060, 1802, 3604, 4505, 9010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18000 and 18020. The biggest common factor number is the GCF number.
So the greatest common factor 18000 and 18020 is 20.

Also check out the Least Common Multiple of 18000 and 18020