What is the Greatest Common Factor of 5328 and 5339?

Greatest common factor (GCF) of 5328 and 5339 is 1.

GCF(5328,5339) = 1

We will now calculate the prime factors of 5328 and 5339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5328 and 5339.

How to find the GCF of 5328 and 5339?

We will first find the prime factorization of 5328 and 5339. After we will calculate the factors of 5328 and 5339 and find the biggest common factor number .

Step-1: Prime Factorization of 5328

Prime factors of 5328 are 2, 3, 37. Prime factorization of 5328 in exponential form is:

5328 = 2⁴ × 3² × 37¹

Step-2: Prime Factorization of 5339

Prime factors of 5339 are 19, 281. Prime factorization of 5339 in exponential form is:

5339 = 19¹ × 281¹

Step-3: Factors of 5328

List of positive integer factors of 5328 that divides 5328 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664

Step-4: Factors of 5339

List of positive integer factors of 5339 that divides 5328 without a remainder.

1, 19, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5328 and 5339. The biggest common factor number is the GCF number.
So the greatest common factor 5328 and 5339 is 1.

Also check out the Least Common Multiple of 5328 and 5339