What is the Greatest Common Factor of 50578 and 50592?

Greatest common factor (GCF) of 50578 and 50592 is 2.

GCF(50578,50592) = 2

We will now calculate the prime factors of 50578 and 50592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50578 and 50592.

How to find the GCF of 50578 and 50592?

We will first find the prime factorization of 50578 and 50592. After we will calculate the factors of 50578 and 50592 and find the biggest common factor number .

Step-1: Prime Factorization of 50578

Prime factors of 50578 are 2, 11, 19. Prime factorization of 50578 in exponential form is:

50578 = 2¹ × 11³ × 19¹

Step-2: 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-3: Factors of 50578

List of positive integer factors of 50578 that divides 50578 without a remainder.

1, 2, 11, 19, 22, 38, 121, 209, 242, 418, 1331, 2299, 2662, 4598, 25289

Step-4: Factors of 50592

List of positive integer factors of 50592 that divides 50578 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50578 and 50592. The biggest common factor number is the GCF number.
So the greatest common factor 50578 and 50592 is 2.

Also check out the Least Common Multiple of 50578 and 50592