Greatest Common Factor of 5398 and 5404

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 5398, 5404 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5398 and 5404 is 2.

GCF(5398,5404) = 2

GCF of 5398 and 5404

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

GCF of:
and

Greatest Common Factor of 5398 and 5404

GCF of 5398 and 5404 is 2

Prime Factorization of 5398


2 5398
2699 2699
1

Prime factors of 5398 are 2,2699. Prime factorization of 5398 in exponential form is:

5398 = 21×26991

Prime Factorization of 5404


2 5404
2 2702
7 1351
193 193
1

Prime factors of 5404 are 2,7,193. Prime factorization of 5404 in exponential form is:

5404 = 22×71×1931

∴ So by taking common prime factors GCF of 5398 and 5404 is 2

Greatest Common Factor of 5398 and 5404 by matching factors method

Factors of 5398

List of positive integer factors of 5398 that divides 5398 without a remainder.

1,2,2699,5398

Factors of 5404

List of positive integer factors of 5404 that divides 5404 without a remainder.

1,2,4,7,14,28,193,386,772,1351,2702,5404

Greatest Common Factor

We found the factors and prime factorization of 5398 and 5404. The biggest common factor number is the GCF number.
So the greatest common factor 5398 and 5404 is 2.

Also check out the Least Common Multiple of 5398 and 5404

Properties of GCF 5398 and 5404

(i) The GCF of 5398 and 5404 is associative

GCF of 5398 and 5404 = GCF of 5404 and 5398

Related Greatest Common Factor of 5398

Related Greatest Common Factor of 5404

Frequently Asked Questions on GCF of 5398 and 5404

1. What is the GCF of 5398 and 5404?

Answer: GCF of 5398 and 5404 is 2.

2. What are the Factors of 5398?

Answer: Factors of 5398 are 1, 2, 2699, 5398. There are 4 integers that are factors of 5398. The greatest factor of 5398 is 5398.

3. What are the Factors of 5404?

Answer: Factors of 5404 are 1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404. There are 12 integers that are factors of 5404. The greatest factor of 5404 is 5404.

4. How to Find the GCF of 5398 and 5404?

Answer:

Greatest Common Factor of 5398 and 5404 = 2

Step 1: Find the prime factorization of 5398

5398 = 2 x 2699

Step 2: Find the prime factorization of 5404

5404 = 2 x 2 x 7 x 193

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5398 and 5404 is 2