What is the Greatest Common Factor of 18300 and 18304?

Greatest common factor (GCF) of 18300 and 18304 is 4.

GCF(18300,18304) = 4

We will now calculate the prime factors of 18300 and 18304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18300 and 18304.

How to find the GCF of 18300 and 18304?

We will first find the prime factorization of 18300 and 18304. After we will calculate the factors of 18300 and 18304 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18304

Prime factors of 18304 are 2, 11, 13. Prime factorization of 18304 in exponential form is:

18304 = 2⁷ × 11¹ × 13¹

Step-3: Factors of 18300

List of positive integer factors of 18300 that divides 18300 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

Step-4: Factors of 18304

List of positive integer factors of 18304 that divides 18300 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 128, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 1408, 1664, 2288, 4576, 9152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18300 and 18304. The biggest common factor number is the GCF number.
So the greatest common factor 18300 and 18304 is 4.

Also check out the Least Common Multiple of 18300 and 18304