Greatest Common Factor of 5341 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 5341, 5349 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5341 and 5349 is 1.

GCF(5341,5349) = 1

GCF of 5341 and 5349

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

GCF of:
and

Greatest Common Factor of 5341 and 5349

GCF of 5341 and 5349 is 1

Prime Factorization of 5341


7 5341
7 763
109 109
1

Prime factors of 5341 are 7,109. Prime factorization of 5341 in exponential form is:

5341 = 72×1091

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 5341 and 5349 is 1

Greatest Common Factor of 5341 and 5349 by matching factors method

Factors of 5341

List of positive integer factors of 5341 that divides 5341 without a remainder.

1,7,49,109,763,5341

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 5341 and 5349. The biggest common factor number is the GCF number.
So the greatest common factor 5341 and 5349 is 1.

Also check out the Least Common Multiple of 5341 and 5349

Properties of GCF 5341 and 5349

(i) The GCF of 5341 and 5349 is associative

GCF of 5341 and 5349 = GCF of 5349 and 5341

Related Greatest Common Factor of 5341

Related Greatest Common Factor of 5349

Frequently Asked Questions on GCF of 5341 and 5349

1. What is the GCF of 5341 and 5349?

Answer: GCF of 5341 and 5349 is 1.

2. What are the Factors of 5341?

Answer: Factors of 5341 are 1, 7, 49, 109, 763, 5341. There are 6 integers that are factors of 5341. The greatest factor of 5341 is 5341.

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 5341 and 5349?

Answer:

Greatest Common Factor of 5341 and 5349 = 1

Step 1: Find the prime factorization of 5341

5341 = 7 x 7 x 109

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 5341 and 5349 is 1