Greatest Common Factor of 5349 and 5353

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, 5353 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5349 and 5353 is 1.

GCF(5349,5353) = 1

GCF of 5349 and 5353

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

GCF of:
and

Greatest Common Factor of 5349 and 5353

GCF of 5349 and 5353 is 1

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 5353


53 5353
101 101
1

Prime factors of 5353 are 53,101. Prime factorization of 5353 in exponential form is:

5353 = 531×1011

∴ So by taking common prime factors GCF of 5349 and 5353 is 1

Greatest Common Factor of 5349 and 5353 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 5353

List of positive integer factors of 5353 that divides 5353 without a remainder.

1,53,101,5353

Greatest Common Factor

We found the factors and prime factorization of 5349 and 5353. The biggest common factor number is the GCF number.
So the greatest common factor 5349 and 5353 is 1.

Also check out the Least Common Multiple of 5349 and 5353

Properties of GCF 5349 and 5353

(i) The GCF of 5349 and 5353 is associative

GCF of 5349 and 5353 = GCF of 5353 and 5349

Related Greatest Common Factor of 5349

Related Greatest Common Factor of 5353

Frequently Asked Questions on GCF of 5349 and 5353

1. What is the GCF of 5349 and 5353?

Answer: GCF of 5349 and 5353 is 1.

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 5353?

Answer: Factors of 5353 are 1, 53, 101, 5353. There are 4 integers that are factors of 5353. The greatest factor of 5353 is 5353.

4. How to Find the GCF of 5349 and 5353?

Answer:

Greatest Common Factor of 5349 and 5353 = 1

Step 1: Find the prime factorization of 5349

5349 = 3 x 1783

Step 2: Find the prime factorization of 5353

5353 = 53 x 101

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 5349 and 5353 is 1