What is the Greatest Common Factor of 17556 and 17568?

Greatest common factor (GCF) of 17556 and 17568 is 12.

GCF(17556,17568) = 12

We will now calculate the prime factors of 17556 and 17568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17556 and 17568.

How to find the GCF of 17556 and 17568?

We will first find the prime factorization of 17556 and 17568. After we will calculate the factors of 17556 and 17568 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17568

Prime factors of 17568 are 2, 3, 61. Prime factorization of 17568 in exponential form is:

17568 = 2⁵ × 3² × 61¹

Step-3: Factors of 17556

List of positive integer factors of 17556 that divides 17556 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

Step-4: Factors of 17568

List of positive integer factors of 17568 that divides 17556 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 61, 72, 96, 122, 144, 183, 244, 288, 366, 488, 549, 732, 976, 1098, 1464, 1952, 2196, 2928, 4392, 5856, 8784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17556 and 17568. The biggest common factor number is the GCF number.
So the greatest common factor 17556 and 17568 is 12.

Also check out the Least Common Multiple of 17556 and 17568