What is the Greatest Common Factor of 17544 and 17556?

Greatest common factor (GCF) of 17544 and 17556 is 12.

GCF(17544,17556) = 12

We will now calculate the prime factors of 17544 and 17556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17544 and 17556.

How to find the GCF of 17544 and 17556?

We will first find the prime factorization of 17544 and 17556. After we will calculate the factors of 17544 and 17556 and find the biggest common factor number .

Step-1: Prime Factorization of 17544

Prime factors of 17544 are 2, 3, 17, 43. Prime factorization of 17544 in exponential form is:

17544 = 2³ × 3¹ × 17¹ × 43¹

Step-2: Prime Factorization of 17556

Prime factors of 17556 are 2, 3, 7, 11, 19. Prime factorization of 17556 in exponential form is:

17556 = 2² × 3¹ × 7¹ × 11¹ × 19¹

Step-3: Factors of 17544

List of positive integer factors of 17544 that divides 17544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 43, 51, 68, 86, 102, 129, 136, 172, 204, 258, 344, 408, 516, 731, 1032, 1462, 2193, 2924, 4386, 5848, 8772

Step-4: Factors of 17556

List of positive integer factors of 17556 that divides 17544 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 19, 21, 22, 28, 33, 38, 42, 44, 57, 66, 76, 77, 84, 114, 132, 133, 154, 209, 228, 231, 266, 308, 399, 418, 462, 532, 627, 798, 836, 924, 1254, 1463, 1596, 2508, 2926, 4389, 5852, 8778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17544 and 17556. The biggest common factor number is the GCF number.
So the greatest common factor 17544 and 17556 is 12.

Also check out the Least Common Multiple of 17544 and 17556