What is the Greatest Common Factor of 50533 and 50544?

Greatest common factor (GCF) of 50533 and 50544 is 1.

GCF(50533,50544) = 1

We will now calculate the prime factors of 50533 and 50544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50533 and 50544.

How to find the GCF of 50533 and 50544?

We will first find the prime factorization of 50533 and 50544. After we will calculate the factors of 50533 and 50544 and find the biggest common factor number .

Step-1: Prime Factorization of 50533

Prime factors of 50533 are 7, 7219. Prime factorization of 50533 in exponential form is:

50533 = 7¹ × 7219¹

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 50533

List of positive integer factors of 50533 that divides 50533 without a remainder.

1, 7, 7219

Step-4: Factors of 50544

List of positive integer factors of 50544 that divides 50533 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 50533 and 50544. The biggest common factor number is the GCF number.
So the greatest common factor 50533 and 50544 is 1.

Also check out the Least Common Multiple of 50533 and 50544