What is the Greatest Common Factor of 48321 and 48331?

Greatest common factor (GCF) of 48321 and 48331 is 1.

GCF(48321,48331) = 1

We will now calculate the prime factors of 48321 and 48331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48321 and 48331.

How to find the GCF of 48321 and 48331?

We will first find the prime factorization of 48321 and 48331. After we will calculate the factors of 48321 and 48331 and find the biggest common factor number .

Step-1: Prime Factorization of 48321

Prime factors of 48321 are 3, 7, 13, 59. Prime factorization of 48321 in exponential form is:

48321 = 3² × 7¹ × 13¹ × 59¹

Step-2: Prime Factorization of 48331

Prime factors of 48331 are 17, 2843. Prime factorization of 48331 in exponential form is:

48331 = 17¹ × 2843¹

Step-3: Factors of 48321

List of positive integer factors of 48321 that divides 48321 without a remainder.

1, 3, 7, 9, 13, 21, 39, 59, 63, 91, 117, 177, 273, 413, 531, 767, 819, 1239, 2301, 3717, 5369, 6903, 16107

Step-4: Factors of 48331

List of positive integer factors of 48331 that divides 48321 without a remainder.

1, 17, 2843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48321 and 48331. The biggest common factor number is the GCF number.
So the greatest common factor 48321 and 48331 is 1.

Also check out the Least Common Multiple of 48321 and 48331