What is the Greatest Common Factor of 48314 and 48321?

Greatest common factor (GCF) of 48314 and 48321 is 7.

GCF(48314,48321) = 7

We will now calculate the prime factors of 48314 and 48321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48314 and 48321.

How to find the GCF of 48314 and 48321?

We will first find the prime factorization of 48314 and 48321. After we will calculate the factors of 48314 and 48321 and find the biggest common factor number .

Step-1: Prime Factorization of 48314

Prime factors of 48314 are 2, 7, 17, 29. Prime factorization of 48314 in exponential form is:

48314 = 2¹ × 7² × 17¹ × 29¹

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 48314

List of positive integer factors of 48314 that divides 48314 without a remainder.

1, 2, 7, 14, 17, 29, 34, 49, 58, 98, 119, 203, 238, 406, 493, 833, 986, 1421, 1666, 2842, 3451, 6902, 24157

Step-4: Factors of 48321

List of positive integer factors of 48321 that divides 48314 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 48314 and 48321. The biggest common factor number is the GCF number.
So the greatest common factor 48314 and 48321 is 7.

Also check out the Least Common Multiple of 48314 and 48321