What is the Greatest Common Factor of 18285 and 18300?

Greatest common factor (GCF) of 18285 and 18300 is 15.

GCF(18285,18300) = 15

We will now calculate the prime factors of 18285 and 18300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18285 and 18300.

How to find the GCF of 18285 and 18300?

We will first find the prime factorization of 18285 and 18300. After we will calculate the factors of 18285 and 18300 and find the biggest common factor number .

Step-1: Prime Factorization of 18285

Prime factors of 18285 are 3, 5, 23, 53. Prime factorization of 18285 in exponential form is:

18285 = 3¹ × 5¹ × 23¹ × 53¹

Step-2: Prime Factorization of 18300

Prime factors of 18300 are 2, 3, 5, 61. Prime factorization of 18300 in exponential form is:

18300 = 2² × 3¹ × 5² × 61¹

Step-3: Factors of 18285

List of positive integer factors of 18285 that divides 18285 without a remainder.

1, 3, 5, 15, 23, 53, 69, 115, 159, 265, 345, 795, 1219, 3657, 6095

Step-4: Factors of 18300

List of positive integer factors of 18300 that divides 18285 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 61, 75, 100, 122, 150, 183, 244, 300, 305, 366, 610, 732, 915, 1220, 1525, 1830, 3050, 3660, 4575, 6100, 9150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18285 and 18300. The biggest common factor number is the GCF number.
So the greatest common factor 18285 and 18300 is 15.

Also check out the Least Common Multiple of 18285 and 18300