What is the Greatest Common Factor of 50544 and 50556?

Greatest common factor (GCF) of 50544 and 50556 is 12.

GCF(50544,50556) = 12

We will now calculate the prime factors of 50544 and 50556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50544 and 50556.

How to find the GCF of 50544 and 50556?

We will first find the prime factorization of 50544 and 50556. After we will calculate the factors of 50544 and 50556 and find the biggest common factor number .

Step-1: Prime Factorization of 50544

Prime factors of 50544 are 2, 3, 13. Prime factorization of 50544 in exponential form is:

50544 = 2⁴ × 3⁵ × 13¹

Step-2: Prime Factorization of 50556

Prime factors of 50556 are 2, 3, 11, 383. Prime factorization of 50556 in exponential form is:

50556 = 2² × 3¹ × 11¹ × 383¹

Step-3: Factors of 50544

List of positive integer factors of 50544 that divides 50544 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 81, 104, 108, 117, 144, 156, 162, 208, 216, 234, 243, 312, 324, 351, 432, 468, 486, 624, 648, 702, 936, 972, 1053, 1296, 1404, 1872, 1944, 2106, 2808, 3159, 3888, 4212, 5616, 6318, 8424, 12636, 16848, 25272

Step-4: Factors of 50556

List of positive integer factors of 50556 that divides 50544 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 383, 766, 1149, 1532, 2298, 4213, 4596, 8426, 12639, 16852, 25278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50544 and 50556. The biggest common factor number is the GCF number.
So the greatest common factor 50544 and 50556 is 12.

Also check out the Least Common Multiple of 50544 and 50556