Greatest Common Factor of 5349 and 5355

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 5349, 5355 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5349 and 5355 is 3.

GCF(5349,5355) = 3

GCF of 5349 and 5355

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

GCF of:
and

Greatest Common Factor of 5349 and 5355

GCF of 5349 and 5355 is 3

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

Prime Factorization of 5355


3 5355
3 1785
5 595
7 119
17 17
1

Prime factors of 5355 are 3,5,7,17. Prime factorization of 5355 in exponential form is:

5355 = 32×51×71×171

∴ So by taking common prime factors GCF of 5349 and 5355 is 3

Greatest Common Factor of 5349 and 5355 by matching factors method

Factors of 5349

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

1,3,1783,5349

Factors of 5355

List of positive integer factors of 5355 that divides 5355 without a remainder.

1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355

Greatest Common Factor

We found the factors and prime factorization of 5349 and 5355. The biggest common factor number is the GCF number.
So the greatest common factor 5349 and 5355 is 3.

Also check out the Least Common Multiple of 5349 and 5355

Properties of GCF 5349 and 5355

(i) The GCF of 5349 and 5355 is associative

GCF of 5349 and 5355 = GCF of 5355 and 5349

Related Greatest Common Factor of 5349

Related Greatest Common Factor of 5355

Frequently Asked Questions on GCF of 5349 and 5355

1. What is the GCF of 5349 and 5355?

Answer: GCF of 5349 and 5355 is 3.

2. 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.

3. What are the Factors of 5355?

Answer: Factors of 5355 are 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355. There are 24 integers that are factors of 5355. The greatest factor of 5355 is 5355.

4. How to Find the GCF of 5349 and 5355?

Answer:

Greatest Common Factor of 5349 and 5355 = 3

Step 1: Find the prime factorization of 5349

5349 = 3 x 1783

Step 2: Find the prime factorization of 5355

5355 = 3 x 3 x 5 x 7 x 17

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 5349 and 5355 is 3