Greatest Common Factor of 5325 and 5328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5325, 5328 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5325 and 5328 is 3.

GCF(5325,5328) = 3

GCF of 5325 and 5328

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5325 and 5328

GCF of 5325 and 5328 is 3

Prime Factorization of 5325


3 5325
5 1775
5 355
71 71
1

Prime factors of 5325 are 3,5,71. Prime factorization of 5325 in exponential form is:

5325 = 31×52×711

Prime Factorization of 5328


2 5328
2 2664
2 1332
2 666
3 333
3 111
37 37
1

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

5328 = 24×32×371

∴ So by taking common prime factors GCF of 5325 and 5328 is 3

Greatest Common Factor of 5325 and 5328 by matching factors method

Factors of 5325

List of positive integer factors of 5325 that divides 5325 without a remainder.

1,3,5,15,25,71,75,213,355,1065,1775,5325

Factors of 5328

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

1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328

Greatest Common Factor

We found the factors and prime factorization of 5325 and 5328. The biggest common factor number is the GCF number.
So the greatest common factor 5325 and 5328 is 3.

Also check out the Least Common Multiple of 5325 and 5328

Properties of GCF 5325 and 5328

(i) The GCF of 5325 and 5328 is associative

GCF of 5325 and 5328 = GCF of 5328 and 5325

Related Greatest Common Factor of 5325

Related Greatest Common Factor of 5328

Frequently Asked Questions on GCF of 5325 and 5328

1. What is the GCF of 5325 and 5328?

Answer: GCF of 5325 and 5328 is 3.

2. What are the Factors of 5325?

Answer: Factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325. There are 12 integers that are factors of 5325. The greatest factor of 5325 is 5325.

3. What are the Factors of 5328?

Answer: Factors of 5328 are 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, 5328. There are 30 integers that are factors of 5328. The greatest factor of 5328 is 5328.

4. How to Find the GCF of 5325 and 5328?

Answer:

Greatest Common Factor of 5325 and 5328 = 3

Step 1: Find the prime factorization of 5325

5325 = 3 x 5 x 5 x 71

Step 2: Find the prime factorization of 5328

5328 = 2 x 2 x 2 x 2 x 3 x 3 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 5325 and 5328 is 3