What is the Greatest Common Factor of 18564 and 18576?

Greatest common factor (GCF) of 18564 and 18576 is 12.

GCF(18564,18576) = 12

We will now calculate the prime factors of 18564 and 18576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18564 and 18576.

How to find the GCF of 18564 and 18576?

We will first find the prime factorization of 18564 and 18576. After we will calculate the factors of 18564 and 18576 and find the biggest common factor number .

Step-1: Prime Factorization of 18564

Prime factors of 18564 are 2, 3, 7, 13, 17. Prime factorization of 18564 in exponential form is:

18564 = 2² × 3¹ × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 18576

Prime factors of 18576 are 2, 3, 43. Prime factorization of 18576 in exponential form is:

18576 = 2⁴ × 3³ × 43¹

Step-3: Factors of 18564

List of positive integer factors of 18564 that divides 18564 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 17, 21, 26, 28, 34, 39, 42, 51, 52, 68, 78, 84, 91, 102, 119, 156, 182, 204, 221, 238, 273, 357, 364, 442, 476, 546, 663, 714, 884, 1092, 1326, 1428, 1547, 2652, 3094, 4641, 6188, 9282

Step-4: Factors of 18576

List of positive integer factors of 18576 that divides 18564 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 43, 48, 54, 72, 86, 108, 129, 144, 172, 216, 258, 344, 387, 432, 516, 688, 774, 1032, 1161, 1548, 2064, 2322, 3096, 4644, 6192, 9288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18564 and 18576. The biggest common factor number is the GCF number.
So the greatest common factor 18564 and 18576 is 12.

Also check out the Least Common Multiple of 18564 and 18576