What is the Greatest Common Factor of 18060 and 18075?

Greatest common factor (GCF) of 18060 and 18075 is 15.

GCF(18060,18075) = 15

We will now calculate the prime factors of 18060 and 18075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18060 and 18075.

How to find the GCF of 18060 and 18075?

We will first find the prime factorization of 18060 and 18075. After we will calculate the factors of 18060 and 18075 and find the biggest common factor number .

Step-1: Prime Factorization of 18060

Prime factors of 18060 are 2, 3, 5, 7, 43. Prime factorization of 18060 in exponential form is:

18060 = 2² × 3¹ × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 18075

Prime factors of 18075 are 3, 5, 241. Prime factorization of 18075 in exponential form is:

18075 = 3¹ × 5² × 241¹

Step-3: Factors of 18060

List of positive integer factors of 18060 that divides 18060 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 43, 60, 70, 84, 86, 105, 129, 140, 172, 210, 215, 258, 301, 420, 430, 516, 602, 645, 860, 903, 1204, 1290, 1505, 1806, 2580, 3010, 3612, 4515, 6020, 9030

Step-4: Factors of 18075

List of positive integer factors of 18075 that divides 18060 without a remainder.

1, 3, 5, 15, 25, 75, 241, 723, 1205, 3615, 6025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18060 and 18075. The biggest common factor number is the GCF number.
So the greatest common factor 18060 and 18075 is 15.

Also check out the Least Common Multiple of 18060 and 18075