What is the Greatest Common Factor of 17545 and 17556?

Greatest common factor (GCF) of 17545 and 17556 is 11.

GCF(17545,17556) = 11

We will now calculate the prime factors of 17545 and 17556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17545 and 17556.

How to find the GCF of 17545 and 17556?

We will first find the prime factorization of 17545 and 17556. After we will calculate the factors of 17545 and 17556 and find the biggest common factor number .

Step-1: Prime Factorization of 17545

Prime factors of 17545 are 5, 11, 29. Prime factorization of 17545 in exponential form is:

17545 = 5¹ × 11² × 29¹

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 17545

List of positive integer factors of 17545 that divides 17545 without a remainder.

1, 5, 11, 29, 55, 121, 145, 319, 605, 1595, 3509

Step-4: Factors of 17556

List of positive integer factors of 17556 that divides 17545 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 17545 and 17556. The biggest common factor number is the GCF number.
So the greatest common factor 17545 and 17556 is 11.

Also check out the Least Common Multiple of 17545 and 17556