What is the Greatest Common Factor of 5328 and 5342?

Greatest common factor (GCF) of 5328 and 5342 is 2.

GCF(5328,5342) = 2

We will now calculate the prime factors of 5328 and 5342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5328 and 5342.

How to find the GCF of 5328 and 5342?

We will first find the prime factorization of 5328 and 5342. After we will calculate the factors of 5328 and 5342 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 5342

Prime factors of 5342 are 2, 2671. Prime factorization of 5342 in exponential form is:

5342 = 2¹ × 2671¹

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 5342

List of positive integer factors of 5342 that divides 5328 without a remainder.

1, 2, 2671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5328 and 5342. The biggest common factor number is the GCF number.
So the greatest common factor 5328 and 5342 is 2.

Also check out the Least Common Multiple of 5328 and 5342