What is the Greatest Common Factor of 18288 and 18300?

Greatest common factor (GCF) of 18288 and 18300 is 12.

GCF(18288,18300) = 12

We will now calculate the prime factors of 18288 and 18300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18288 and 18300.

How to find the GCF of 18288 and 18300?

We will first find the prime factorization of 18288 and 18300. After we will calculate the factors of 18288 and 18300 and find the biggest common factor number .

Step-1: Prime Factorization of 18288

Prime factors of 18288 are 2, 3, 127. Prime factorization of 18288 in exponential form is:

18288 = 2⁴ × 3² × 127¹

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 18288

List of positive integer factors of 18288 that divides 18288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 127, 144, 254, 381, 508, 762, 1016, 1143, 1524, 2032, 2286, 3048, 4572, 6096, 9144

Step-4: Factors of 18300

List of positive integer factors of 18300 that divides 18288 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 18288 and 18300. The biggest common factor number is the GCF number.
So the greatest common factor 18288 and 18300 is 12.

Also check out the Least Common Multiple of 18288 and 18300