What is the Greatest Common Factor of 48308 and 48321?

Greatest common factor (GCF) of 48308 and 48321 is 13.

GCF(48308,48321) = 13

We will now calculate the prime factors of 48308 and 48321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48308 and 48321.

How to find the GCF of 48308 and 48321?

We will first find the prime factorization of 48308 and 48321. After we will calculate the factors of 48308 and 48321 and find the biggest common factor number .

Step-1: Prime Factorization of 48308

Prime factors of 48308 are 2, 13, 929. Prime factorization of 48308 in exponential form is:

48308 = 2² × 13¹ × 929¹

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 48308

List of positive integer factors of 48308 that divides 48308 without a remainder.

1, 2, 4, 13, 26, 52, 929, 1858, 3716, 12077, 24154

Step-4: Factors of 48321

List of positive integer factors of 48321 that divides 48308 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 48308 and 48321. The biggest common factor number is the GCF number.
So the greatest common factor 48308 and 48321 is 13.

Also check out the Least Common Multiple of 48308 and 48321