Greatest Common Factor of 5590 and 5598

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 5590, 5598 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5590 and 5598 is 2.

GCF(5590,5598) = 2

GCF of 5590 and 5598

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

GCF of:
and

Greatest Common Factor of 5590 and 5598

GCF of 5590 and 5598 is 2

Prime Factorization of 5590


2 5590
5 2795
13 559
43 43
1

Prime factors of 5590 are 2,5,13,43. Prime factorization of 5590 in exponential form is:

5590 = 21×51×131×431

Prime Factorization of 5598


2 5598
3 2799
3 933
311 311
1

Prime factors of 5598 are 2,3,311. Prime factorization of 5598 in exponential form is:

5598 = 21×32×3111

∴ So by taking common prime factors GCF of 5590 and 5598 is 2

Greatest Common Factor of 5590 and 5598 by matching factors method

Factors of 5590

List of positive integer factors of 5590 that divides 5590 without a remainder.

1,2,5,10,13,26,43,65,86,130,215,430,559,1118,2795,5590

Factors of 5598

List of positive integer factors of 5598 that divides 5598 without a remainder.

1,2,3,6,9,18,311,622,933,1866,2799,5598

Greatest Common Factor

We found the factors and prime factorization of 5590 and 5598. The biggest common factor number is the GCF number.
So the greatest common factor 5590 and 5598 is 2.

Also check out the Least Common Multiple of 5590 and 5598

Properties of GCF 5590 and 5598

(i) The GCF of 5590 and 5598 is associative

GCF of 5590 and 5598 = GCF of 5598 and 5590

Related Greatest Common Factor of 5590

Related Greatest Common Factor of 5598

Frequently Asked Questions on GCF of 5590 and 5598

1. What is the GCF of 5590 and 5598?

Answer: GCF of 5590 and 5598 is 2.

2. What are the Factors of 5590?

Answer: Factors of 5590 are 1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590. There are 16 integers that are factors of 5590. The greatest factor of 5590 is 5590.

3. What are the Factors of 5598?

Answer: Factors of 5598 are 1, 2, 3, 6, 9, 18, 311, 622, 933, 1866, 2799, 5598. There are 12 integers that are factors of 5598. The greatest factor of 5598 is 5598.

4. How to Find the GCF of 5590 and 5598?

Answer:

Greatest Common Factor of 5590 and 5598 = 2

Step 1: Find the prime factorization of 5590

5590 = 2 x 5 x 13 x 43

Step 2: Find the prime factorization of 5598

5598 = 2 x 3 x 3 x 311

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 5590 and 5598 is 2