What is the Greatest Common Factor of 18304 and 18312?

Greatest common factor (GCF) of 18304 and 18312 is 8.

GCF(18304,18312) = 8

We will now calculate the prime factors of 18304 and 18312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18304 and 18312.

How to find the GCF of 18304 and 18312?

We will first find the prime factorization of 18304 and 18312. After we will calculate the factors of 18304 and 18312 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18312

Prime factors of 18312 are 2, 3, 7, 109. Prime factorization of 18312 in exponential form is:

18312 = 2³ × 3¹ × 7¹ × 109¹

Step-3: Factors of 18304

List of positive integer factors of 18304 that divides 18304 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

Step-4: Factors of 18312

List of positive integer factors of 18312 that divides 18304 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 109, 168, 218, 327, 436, 654, 763, 872, 1308, 1526, 2289, 2616, 3052, 4578, 6104, 9156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18304 and 18312. The biggest common factor number is the GCF number.
So the greatest common factor 18304 and 18312 is 8.

Also check out the Least Common Multiple of 18304 and 18312