What is the Greatest Common Factor of 50592 and 50608?

Greatest common factor (GCF) of 50592 and 50608 is 16.

GCF(50592,50608) = 16

We will now calculate the prime factors of 50592 and 50608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50592 and 50608.

How to find the GCF of 50592 and 50608?

We will first find the prime factorization of 50592 and 50608. After we will calculate the factors of 50592 and 50608 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 50608

Prime factors of 50608 are 2, 3163. Prime factorization of 50608 in exponential form is:

50608 = 2⁴ × 3163¹

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 50608

List of positive integer factors of 50608 that divides 50592 without a remainder.

1, 2, 4, 8, 16, 3163, 6326, 12652, 25304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50592 and 50608. The biggest common factor number is the GCF number.
So the greatest common factor 50592 and 50608 is 16.

Also check out the Least Common Multiple of 50592 and 50608