What is the Greatest Common Factor of 48321 and 48339?

Greatest common factor (GCF) of 48321 and 48339 is 9.

GCF(48321,48339) = 9

We will now calculate the prime factors of 48321 and 48339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48321 and 48339.

How to find the GCF of 48321 and 48339?

We will first find the prime factorization of 48321 and 48339. After we will calculate the factors of 48321 and 48339 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 48339

Prime factors of 48339 are 3, 41, 131. Prime factorization of 48339 in exponential form is:

48339 = 3² × 41¹ × 131¹

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 48339

List of positive integer factors of 48339 that divides 48321 without a remainder.

1, 3, 9, 41, 123, 131, 369, 393, 1179, 5371, 16113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48321 and 48339. The biggest common factor number is the GCF number.
So the greatest common factor 48321 and 48339 is 9.

Also check out the Least Common Multiple of 48321 and 48339