What is the Greatest Common Factor of 55539 and 55556?

Greatest common factor (GCF) of 55539 and 55556 is 17.

GCF(55539,55556) = 17

We will now calculate the prime factors of 55539 and 55556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55539 and 55556.

How to find the GCF of 55539 and 55556?

We will first find the prime factorization of 55539 and 55556. After we will calculate the factors of 55539 and 55556 and find the biggest common factor number .

Step-1: Prime Factorization of 55539

Prime factors of 55539 are 3, 11, 17. Prime factorization of 55539 in exponential form is:

55539 = 3³ × 11² × 17¹

Step-2: Prime Factorization of 55556

Prime factors of 55556 are 2, 17, 19, 43. Prime factorization of 55556 in exponential form is:

55556 = 2² × 17¹ × 19¹ × 43¹

Step-3: Factors of 55539

List of positive integer factors of 55539 that divides 55539 without a remainder.

1, 3, 9, 11, 17, 27, 33, 51, 99, 121, 153, 187, 297, 363, 459, 561, 1089, 1683, 2057, 3267, 5049, 6171, 18513

Step-4: Factors of 55556

List of positive integer factors of 55556 that divides 55539 without a remainder.

1, 2, 4, 17, 19, 34, 38, 43, 68, 76, 86, 172, 323, 646, 731, 817, 1292, 1462, 1634, 2924, 3268, 13889, 27778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55539 and 55556. The biggest common factor number is the GCF number.
So the greatest common factor 55539 and 55556 is 17.

Also check out the Least Common Multiple of 55539 and 55556