What is the Greatest Common Factor of 18000 and 18012?

Greatest common factor (GCF) of 18000 and 18012 is 12.

GCF(18000,18012) = 12

We will now calculate the prime factors of 18000 and 18012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18000 and 18012.

How to find the GCF of 18000 and 18012?

We will first find the prime factorization of 18000 and 18012. After we will calculate the factors of 18000 and 18012 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 18012

Prime factors of 18012 are 2, 3, 19, 79. Prime factorization of 18012 in exponential form is:

18012 = 2² × 3¹ × 19¹ × 79¹

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 18012

List of positive integer factors of 18012 that divides 18000 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 79, 114, 158, 228, 237, 316, 474, 948, 1501, 3002, 4503, 6004, 9006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18000 and 18012. The biggest common factor number is the GCF number.
So the greatest common factor 18000 and 18012 is 12.

Also check out the Least Common Multiple of 18000 and 18012