What is the Greatest Common Factor of 50544 and 50549?

Greatest common factor (GCF) of 50544 and 50549 is 1.

GCF(50544,50549) = 1

We will now calculate the prime factors of 50544 and 50549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50544 and 50549.

How to find the GCF of 50544 and 50549?

We will first find the prime factorization of 50544 and 50549. After we will calculate the factors of 50544 and 50549 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 50549

Prime factors of 50549 are 50549. Prime factorization of 50549 in exponential form is:

50549 = 50549¹

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 50549

List of positive integer factors of 50549 that divides 50544 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50544 and 50549. The biggest common factor number is the GCF number.
So the greatest common factor 50544 and 50549 is 1.

Also check out the Least Common Multiple of 50544 and 50549