Greatest Common Factor of 5390 and 5398

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 5390, 5398 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5390 and 5398 is 2.

GCF(5390,5398) = 2

GCF of 5390 and 5398

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

GCF of:
and

Greatest Common Factor of 5390 and 5398

GCF of 5390 and 5398 is 2

Prime Factorization of 5390


2 5390
5 2695
7 539
7 77
11 11
1

Prime factors of 5390 are 2,5,7,11. Prime factorization of 5390 in exponential form is:

5390 = 21×51×72×111

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

∴ So by taking common prime factors GCF of 5390 and 5398 is 2

Greatest Common Factor of 5390 and 5398 by matching factors method

Factors of 5390

List of positive integer factors of 5390 that divides 5390 without a remainder.

1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390

Factors of 5398

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

1,2,2699,5398

Greatest Common Factor

We found the factors and prime factorization of 5390 and 5398. The biggest common factor number is the GCF number.
So the greatest common factor 5390 and 5398 is 2.

Also check out the Least Common Multiple of 5390 and 5398

Properties of GCF 5390 and 5398

(i) The GCF of 5390 and 5398 is associative

GCF of 5390 and 5398 = GCF of 5398 and 5390

Related Greatest Common Factor of 5390

Related Greatest Common Factor of 5398

Frequently Asked Questions on GCF of 5390 and 5398

1. What is the GCF of 5390 and 5398?

Answer: GCF of 5390 and 5398 is 2.

2. What are the Factors of 5390?

Answer: Factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390. There are 24 integers that are factors of 5390. The greatest factor of 5390 is 5390.

3. 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.

4. How to Find the GCF of 5390 and 5398?

Answer:

Greatest Common Factor of 5390 and 5398 = 2

Step 1: Find the prime factorization of 5390

5390 = 2 x 5 x 7 x 7 x 11

Step 2: Find the prime factorization of 5398

5398 = 2 x 2699

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 5390 and 5398 is 2