Greatest Common Factor of 5328 and 5336

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 5328, 5336 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5328 and 5336 is 8.

GCF(5328,5336) = 8

GCF of 5328 and 5336

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

GCF of:
and

Greatest Common Factor of 5328 and 5336

GCF of 5328 and 5336 is 8

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

Prime Factorization of 5336


2 5336
2 2668
2 1334
23 667
29 29
1

Prime factors of 5336 are 2,23,29. Prime factorization of 5336 in exponential form is:

5336 = 23×231×291

∴ So by taking common prime factors GCF of 5328 and 5336 is 8

Greatest Common Factor of 5328 and 5336 by matching factors method

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

Factors of 5336

List of positive integer factors of 5336 that divides 5336 without a remainder.

1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336

Greatest Common Factor

We found the factors and prime factorization of 5328 and 5336. The biggest common factor number is the GCF number.
So the greatest common factor 5328 and 5336 is 8.

Also check out the Least Common Multiple of 5328 and 5336

Properties of GCF 5328 and 5336

(i) The GCF of 5328 and 5336 is associative

GCF of 5328 and 5336 = GCF of 5336 and 5328

Related Greatest Common Factor of 5328

Related Greatest Common Factor of 5336

Frequently Asked Questions on GCF of 5328 and 5336

1. What is the GCF of 5328 and 5336?

Answer: GCF of 5328 and 5336 is 8.

2. 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.

3. What are the Factors of 5336?

Answer: Factors of 5336 are 1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336. There are 16 integers that are factors of 5336. The greatest factor of 5336 is 5336.

4. How to Find the GCF of 5328 and 5336?

Answer:

Greatest Common Factor of 5328 and 5336 = 8

Step 1: Find the prime factorization of 5328

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

Step 2: Find the prime factorization of 5336

5336 = 2 x 2 x 2 x 23 x 29

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 5328 and 5336 is 8