What is the Greatest Common Factor of 5328 and 5340?

Greatest common factor (GCF) of 5328 and 5340 is 12.

GCF(5328,5340) = 12

We will now calculate the prime factors of 5328 and 5340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5328 and 5340.

How to find the GCF of 5328 and 5340?

We will first find the prime factorization of 5328 and 5340. After we will calculate the factors of 5328 and 5340 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 5340

Prime factors of 5340 are 2, 3, 5, 89. Prime factorization of 5340 in exponential form is:

5340 = 2² × 3¹ × 5¹ × 89¹

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 5340

List of positive integer factors of 5340 that divides 5328 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5328 and 5340. The biggest common factor number is the GCF number.
So the greatest common factor 5328 and 5340 is 12.

Also check out the Least Common Multiple of 5328 and 5340