What is the Greatest Common Factor of 50531 and 50544?

Greatest common factor (GCF) of 50531 and 50544 is 13.

GCF(50531,50544) = 13

We will now calculate the prime factors of 50531 and 50544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50531 and 50544.

How to find the GCF of 50531 and 50544?

We will first find the prime factorization of 50531 and 50544. After we will calculate the factors of 50531 and 50544 and find the biggest common factor number .

Step-1: Prime Factorization of 50531

Prime factors of 50531 are 13, 23. Prime factorization of 50531 in exponential form is:

50531 = 13³ × 23¹

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 50531

List of positive integer factors of 50531 that divides 50531 without a remainder.

1, 13, 23, 169, 299, 2197, 3887

Step-4: Factors of 50544

List of positive integer factors of 50544 that divides 50531 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 50531 and 50544. The biggest common factor number is the GCF number.
So the greatest common factor 50531 and 50544 is 13.

Also check out the Least Common Multiple of 50531 and 50544