What is the Greatest Common Factor of 17556 and 17570?

Greatest common factor (GCF) of 17556 and 17570 is 14.

GCF(17556,17570) = 14

We will now calculate the prime factors of 17556 and 17570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17556 and 17570.

How to find the GCF of 17556 and 17570?

We will first find the prime factorization of 17556 and 17570. After we will calculate the factors of 17556 and 17570 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 17570

Prime factors of 17570 are 2, 5, 7, 251. Prime factorization of 17570 in exponential form is:

17570 = 2¹ × 5¹ × 7¹ × 251¹

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 17570

List of positive integer factors of 17570 that divides 17556 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 251, 502, 1255, 1757, 2510, 3514, 8785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17556 and 17570. The biggest common factor number is the GCF number.
So the greatest common factor 17556 and 17570 is 14.

Also check out the Least Common Multiple of 17556 and 17570