What is the Greatest Common Factor of 50529 and 50544?

Greatest common factor (GCF) of 50529 and 50544 is 3.

GCF(50529,50544) = 3

We will now calculate the prime factors of 50529 and 50544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50529 and 50544.

How to find the GCF of 50529 and 50544?

We will first find the prime factorization of 50529 and 50544. After we will calculate the factors of 50529 and 50544 and find the biggest common factor number .

Step-1: Prime Factorization of 50529

Prime factors of 50529 are 3, 16843. Prime factorization of 50529 in exponential form is:

50529 = 3¹ × 16843¹

Step-2: 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-3: Factors of 50529

List of positive integer factors of 50529 that divides 50529 without a remainder.

1, 3, 16843

Step-4: Factors of 50544

List of positive integer factors of 50544 that divides 50529 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50529 and 50544. The biggest common factor number is the GCF number.
So the greatest common factor 50529 and 50544 is 3.

Also check out the Least Common Multiple of 50529 and 50544