What is the Greatest Common Factor of 48315 and 48321?

Greatest common factor (GCF) of 48315 and 48321 is 3.

GCF(48315,48321) = 3

We will now calculate the prime factors of 48315 and 48321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48315 and 48321.

How to find the GCF of 48315 and 48321?

We will first find the prime factorization of 48315 and 48321. After we will calculate the factors of 48315 and 48321 and find the biggest common factor number .

Step-1: Prime Factorization of 48315

Prime factors of 48315 are 3, 5, 3221. Prime factorization of 48315 in exponential form is:

48315 = 3¹ × 5¹ × 3221¹

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 48315

List of positive integer factors of 48315 that divides 48315 without a remainder.

1, 3, 5, 15, 3221, 9663, 16105

Step-4: Factors of 48321

List of positive integer factors of 48321 that divides 48315 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 48315 and 48321. The biggest common factor number is the GCF number.
So the greatest common factor 48315 and 48321 is 3.

Also check out the Least Common Multiple of 48315 and 48321