What is the Greatest Common Factor of 50592 and 50612?

Greatest common factor (GCF) of 50592 and 50612 is 4.

GCF(50592,50612) = 4

We will now calculate the prime factors of 50592 and 50612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50592 and 50612.

How to find the GCF of 50592 and 50612?

We will first find the prime factorization of 50592 and 50612. After we will calculate the factors of 50592 and 50612 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 50612

Prime factors of 50612 are 2, 12653. Prime factorization of 50612 in exponential form is:

50612 = 2² × 12653¹

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 50612

List of positive integer factors of 50612 that divides 50592 without a remainder.

1, 2, 4, 12653, 25306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50592 and 50612. The biggest common factor number is the GCF number.
So the greatest common factor 50592 and 50612 is 4.

Also check out the Least Common Multiple of 50592 and 50612