What is the Greatest Common Factor of 17556 and 17563?

Greatest common factor (GCF) of 17556 and 17563 is 7.

GCF(17556,17563) = 7

We will now calculate the prime factors of 17556 and 17563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17556 and 17563.

How to find the GCF of 17556 and 17563?

We will first find the prime factorization of 17556 and 17563. After we will calculate the factors of 17556 and 17563 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 17563

Prime factors of 17563 are 7, 13, 193. Prime factorization of 17563 in exponential form is:

17563 = 7¹ × 13¹ × 193¹

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 17563

List of positive integer factors of 17563 that divides 17556 without a remainder.

1, 7, 13, 91, 193, 1351, 2509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17556 and 17563. The biggest common factor number is the GCF number.
So the greatest common factor 17556 and 17563 is 7.

Also check out the Least Common Multiple of 17556 and 17563