Greatest Common Factor of 5344 and 5349

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 5344, 5349 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5344 and 5349 is 1.

GCF(5344,5349) = 1

GCF of 5344 and 5349

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

GCF of:
and

Greatest Common Factor of 5344 and 5349

GCF of 5344 and 5349 is 1

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

Prime Factorization of 5349


3 5349
1783 1783
1

Prime factors of 5349 are 3,1783. Prime factorization of 5349 in exponential form is:

5349 = 31×17831

∴ So by taking common prime factors GCF of 5344 and 5349 is 1

Greatest Common Factor of 5344 and 5349 by matching factors method

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

Factors of 5349

List of positive integer factors of 5349 that divides 5349 without a remainder.

1,3,1783,5349

Greatest Common Factor

We found the factors and prime factorization of 5344 and 5349. The biggest common factor number is the GCF number.
So the greatest common factor 5344 and 5349 is 1.

Also check out the Least Common Multiple of 5344 and 5349

Properties of GCF 5344 and 5349

(i) The GCF of 5344 and 5349 is associative

GCF of 5344 and 5349 = GCF of 5349 and 5344

Related Greatest Common Factor of 5344

Related Greatest Common Factor of 5349

Frequently Asked Questions on GCF of 5344 and 5349

1. What is the GCF of 5344 and 5349?

Answer: GCF of 5344 and 5349 is 1.

2. 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.

3. What are the Factors of 5349?

Answer: Factors of 5349 are 1, 3, 1783, 5349. There are 4 integers that are factors of 5349. The greatest factor of 5349 is 5349.

4. How to Find the GCF of 5344 and 5349?

Answer:

Greatest Common Factor of 5344 and 5349 = 1

Step 1: Find the prime factorization of 5344

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

Step 2: Find the prime factorization of 5349

5349 = 3 x 1783

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5344 and 5349 is 1