Greatest Common Factor of 11328 and 11336

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 11328, 11336 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11328 and 11336 is 8.

GCF(11328,11336) = 8

GCF of 11328 and 11336

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

GCF of:
and

Greatest Common Factor of 11328 and 11336

GCF of 11328 and 11336 is 8

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

Prime Factorization of 11336


2 11336
2 5668
2 2834
13 1417
109 109
1

Prime factors of 11336 are 2,13,109. Prime factorization of 11336 in exponential form is:

11336 = 23×131×1091

∴ So by taking common prime factors GCF of 11328 and 11336 is 8

Greatest Common Factor of 11328 and 11336 by matching factors method

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

Factors of 11336

List of positive integer factors of 11336 that divides 11336 without a remainder.

1,2,4,8,13,26,52,104,109,218,436,872,1417,2834,5668,11336

Greatest Common Factor

We found the factors and prime factorization of 11328 and 11336. The biggest common factor number is the GCF number.
So the greatest common factor 11328 and 11336 is 8.

Also check out the Least Common Multiple of 11328 and 11336

Properties of GCF 11328 and 11336

(i) The GCF of 11328 and 11336 is associative

GCF of 11328 and 11336 = GCF of 11336 and 11328

Related Greatest Common Factor of 11328

Related Greatest Common Factor of 11336

Frequently Asked Questions on GCF of 11328 and 11336

1. What is the GCF of 11328 and 11336?

Answer: GCF of 11328 and 11336 is 8.

2. 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.

3. What are the Factors of 11336?

Answer: Factors of 11336 are 1, 2, 4, 8, 13, 26, 52, 104, 109, 218, 436, 872, 1417, 2834, 5668, 11336. There are 16 integers that are factors of 11336. The greatest factor of 11336 is 11336.

4. How to Find the GCF of 11328 and 11336?

Answer:

Greatest Common Factor of 11328 and 11336 = 8

Step 1: Find the prime factorization of 11328

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

Step 2: Find the prime factorization of 11336

11336 = 2 x 2 x 2 x 13 x 109

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 11328 and 11336 is 8