What is the Greatest Common Factor of 48311 and 48321?

Greatest common factor (GCF) of 48311 and 48321 is 1.

GCF(48311,48321) = 1

We will now calculate the prime factors of 48311 and 48321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48311 and 48321.

How to find the GCF of 48311 and 48321?

We will first find the prime factorization of 48311 and 48321. After we will calculate the factors of 48311 and 48321 and find the biggest common factor number .

Step-1: Prime Factorization of 48311

Prime factors of 48311 are 48311. Prime factorization of 48311 in exponential form is:

48311 = 48311¹

Step-2: 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-3: Factors of 48311

List of positive integer factors of 48311 that divides 48311 without a remainder.

Step-4: Factors of 48321

List of positive integer factors of 48321 that divides 48311 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48311 and 48321. The biggest common factor number is the GCF number.
So the greatest common factor 48311 and 48321 is 1.

Also check out the Least Common Multiple of 48311 and 48321