What is the Greatest Common Factor of 50592 and 50609?

Greatest common factor (GCF) of 50592 and 50609 is 17.

GCF(50592,50609) = 17

We will now calculate the prime factors of 50592 and 50609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50592 and 50609.

How to find the GCF of 50592 and 50609?

We will first find the prime factorization of 50592 and 50609. After we will calculate the factors of 50592 and 50609 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 50609

Prime factors of 50609 are 13, 17, 229. Prime factorization of 50609 in exponential form is:

50609 = 13¹ × 17¹ × 229¹

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 50609

List of positive integer factors of 50609 that divides 50592 without a remainder.

1, 13, 17, 221, 229, 2977, 3893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50592 and 50609. The biggest common factor number is the GCF number.
So the greatest common factor 50592 and 50609 is 17.

Also check out the Least Common Multiple of 50592 and 50609