Greatest Common Factor of 11325 and 11328

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 11325, 11328 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11325 and 11328 is 3.

GCF(11325,11328) = 3

GCF of 11325 and 11328

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

GCF of:
and

Greatest Common Factor of 11325 and 11328

GCF of 11325 and 11328 is 3

Prime Factorization of 11325


3 11325
5 3775
5 755
151 151
1

Prime factors of 11325 are 3,5,151. Prime factorization of 11325 in exponential form is:

11325 = 31×52×1511

Prime Factorization of 11328


2 11328
2 5664
2 2832
2 1416
2 708
2 354
3 177
59 59
1

Prime factors of 11328 are 2,3,59. Prime factorization of 11328 in exponential form is:

11328 = 26×31×591

∴ So by taking common prime factors GCF of 11325 and 11328 is 3

Greatest Common Factor of 11325 and 11328 by matching factors method

Factors of 11325

List of positive integer factors of 11325 that divides 11325 without a remainder.

1,3,5,15,25,75,151,453,755,2265,3775,11325

Factors of 11328

List of positive integer factors of 11328 that divides 11328 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,59,64,96,118,177,192,236,354,472,708,944,1416,1888,2832,3776,5664,11328

Greatest Common Factor

We found the factors and prime factorization of 11325 and 11328. The biggest common factor number is the GCF number.
So the greatest common factor 11325 and 11328 is 3.

Also check out the Least Common Multiple of 11325 and 11328

Properties of GCF 11325 and 11328

(i) The GCF of 11325 and 11328 is associative

GCF of 11325 and 11328 = GCF of 11328 and 11325

Related Greatest Common Factor of 11325

Related Greatest Common Factor of 11328

Frequently Asked Questions on GCF of 11325 and 11328

1. What is the GCF of 11325 and 11328?

Answer: GCF of 11325 and 11328 is 3.

2. What are the Factors of 11325?

Answer: Factors of 11325 are 1, 3, 5, 15, 25, 75, 151, 453, 755, 2265, 3775, 11325. There are 12 integers that are factors of 11325. The greatest factor of 11325 is 11325.

3. What are the Factors of 11328?

Answer: Factors of 11328 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 64, 96, 118, 177, 192, 236, 354, 472, 708, 944, 1416, 1888, 2832, 3776, 5664, 11328. There are 28 integers that are factors of 11328. The greatest factor of 11328 is 11328.

4. How to Find the GCF of 11325 and 11328?

Answer:

Greatest Common Factor of 11325 and 11328 = 3

Step 1: Find the prime factorization of 11325

11325 = 3 x 5 x 5 x 151

Step 2: Find the prime factorization of 11328

11328 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 59

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 11325 and 11328 is 3