What is the Greatest Common Factor of 50592 and 50601?

Greatest common factor (GCF) of 50592 and 50601 is 3.

GCF(50592,50601) = 3

We will now calculate the prime factors of 50592 and 50601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50592 and 50601.

How to find the GCF of 50592 and 50601?

We will first find the prime factorization of 50592 and 50601. After we will calculate the factors of 50592 and 50601 and find the biggest common factor number .

Step-1: Prime Factorization of 50592

Prime factors of 50592 are 2, 3, 17, 31. Prime factorization of 50592 in exponential form is:

50592 = 2⁵ × 3¹ × 17¹ × 31¹

Step-2: Prime Factorization of 50601

Prime factors of 50601 are 3, 101, 167. Prime factorization of 50601 in exponential form is:

50601 = 3¹ × 101¹ × 167¹

Step-3: Factors of 50592

List of positive integer factors of 50592 that divides 50592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 31, 32, 34, 48, 51, 62, 68, 93, 96, 102, 124, 136, 186, 204, 248, 272, 372, 408, 496, 527, 544, 744, 816, 992, 1054, 1488, 1581, 1632, 2108, 2976, 3162, 4216, 6324, 8432, 12648, 16864, 25296

Step-4: Factors of 50601

List of positive integer factors of 50601 that divides 50592 without a remainder.

1, 3, 101, 167, 303, 501, 16867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50592 and 50601. The biggest common factor number is the GCF number.
So the greatest common factor 50592 and 50601 is 3.

Also check out the Least Common Multiple of 50592 and 50601