What is the Greatest Common Factor of 18291 and 18304?

Greatest common factor (GCF) of 18291 and 18304 is 13.

GCF(18291,18304) = 13

We will now calculate the prime factors of 18291 and 18304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18291 and 18304.

How to find the GCF of 18291 and 18304?

We will first find the prime factorization of 18291 and 18304. After we will calculate the factors of 18291 and 18304 and find the biggest common factor number .

Step-1: Prime Factorization of 18291

Prime factors of 18291 are 3, 7, 13, 67. Prime factorization of 18291 in exponential form is:

18291 = 3¹ × 7¹ × 13¹ × 67¹

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 18291

List of positive integer factors of 18291 that divides 18291 without a remainder.

1, 3, 7, 13, 21, 39, 67, 91, 201, 273, 469, 871, 1407, 2613, 6097

Step-4: Factors of 18304

List of positive integer factors of 18304 that divides 18291 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 18291 and 18304. The biggest common factor number is the GCF number.
So the greatest common factor 18291 and 18304 is 13.

Also check out the Least Common Multiple of 18291 and 18304