What is the Greatest Common Factor of 50592 and 50603?

Greatest common factor (GCF) of 50592 and 50603 is 1.

GCF(50592,50603) = 1

We will now calculate the prime factors of 50592 and 50603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50592 and 50603.

How to find the GCF of 50592 and 50603?

We will first find the prime factorization of 50592 and 50603. After we will calculate the factors of 50592 and 50603 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 50603

Prime factors of 50603 are 7, 7229. Prime factorization of 50603 in exponential form is:

50603 = 7¹ × 7229¹

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 50603

List of positive integer factors of 50603 that divides 50592 without a remainder.

1, 7, 7229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50592 and 50603. The biggest common factor number is the GCF number.
So the greatest common factor 50592 and 50603 is 1.

Also check out the Least Common Multiple of 50592 and 50603