What is the Greatest Common Factor of 17542 and 17556?

Greatest common factor (GCF) of 17542 and 17556 is 14.

GCF(17542,17556) = 14

We will now calculate the prime factors of 17542 and 17556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17542 and 17556.

How to find the GCF of 17542 and 17556?

We will first find the prime factorization of 17542 and 17556. After we will calculate the factors of 17542 and 17556 and find the biggest common factor number .

Step-1: Prime Factorization of 17542

Prime factors of 17542 are 2, 7, 179. Prime factorization of 17542 in exponential form is:

17542 = 2¹ × 7² × 179¹

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 17542

List of positive integer factors of 17542 that divides 17542 without a remainder.

1, 2, 7, 14, 49, 98, 179, 358, 1253, 2506, 8771

Step-4: Factors of 17556

List of positive integer factors of 17556 that divides 17542 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 17542 and 17556. The biggest common factor number is the GCF number.
So the greatest common factor 17542 and 17556 is 14.

Also check out the Least Common Multiple of 17542 and 17556