Greatest Common Factor of 5336 and 5344

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 5336, 5344 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5336 and 5344 is 8.

GCF(5336,5344) = 8

GCF of 5336 and 5344

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

GCF of:
and

Greatest Common Factor of 5336 and 5344

GCF of 5336 and 5344 is 8

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

Prime Factorization of 5344


2 5344
2 2672
2 1336
2 668
2 334
167 167
1

Prime factors of 5344 are 2,167. Prime factorization of 5344 in exponential form is:

5344 = 25×1671

∴ So by taking common prime factors GCF of 5336 and 5344 is 8

Greatest Common Factor of 5336 and 5344 by matching factors method

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

Factors of 5344

List of positive integer factors of 5344 that divides 5344 without a remainder.

1,2,4,8,16,32,167,334,668,1336,2672,5344

Greatest Common Factor

We found the factors and prime factorization of 5336 and 5344. The biggest common factor number is the GCF number.
So the greatest common factor 5336 and 5344 is 8.

Also check out the Least Common Multiple of 5336 and 5344

Properties of GCF 5336 and 5344

(i) The GCF of 5336 and 5344 is associative

GCF of 5336 and 5344 = GCF of 5344 and 5336

Related Greatest Common Factor of 5336

Related Greatest Common Factor of 5344

Frequently Asked Questions on GCF of 5336 and 5344

1. What is the GCF of 5336 and 5344?

Answer: GCF of 5336 and 5344 is 8.

2. 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.

3. What are the Factors of 5344?

Answer: Factors of 5344 are 1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344. There are 12 integers that are factors of 5344. The greatest factor of 5344 is 5344.

4. How to Find the GCF of 5336 and 5344?

Answer:

Greatest Common Factor of 5336 and 5344 = 8

Step 1: Find the prime factorization of 5336

5336 = 2 x 2 x 2 x 23 x 29

Step 2: Find the prime factorization of 5344

5344 = 2 x 2 x 2 x 2 x 2 x 167

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 5336 and 5344 is 8