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, 5594 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5590 and 5594 is 2.
GCF(5590,5594) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 5594
2 | 5594 |
2797 | 2797 |
1 |
Prime factors of 5594 are 2,2797. Prime factorization of 5594 in exponential form is:
5594 = 21×27971
∴ So by taking common prime factors GCF of 5590 and 5594 is 2
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 5594
List of positive integer factors of 5594 that divides 5594 without a remainder.
1,2,2797,5594
Greatest Common Factor
We found the factors and prime factorization of 5590 and 5594. The biggest common factor number is the GCF number.
So the greatest common factor 5590 and 5594 is 2.
Also check out the Least Common Multiple of 5590 and 5594
(i) The GCF of 5590 and 5594 is associative
GCF of 5590 and 5594 = GCF of 5594 and 5590
1. What is the GCF of 5590 and 5594?
Answer: GCF of 5590 and 5594 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 5594?
Answer: Factors of 5594 are 1, 2, 2797, 5594. There are 4 integers that are factors of 5594. The greatest factor of 5594 is 5594.
4. How to Find the GCF of 5590 and 5594?
Answer:
Greatest Common Factor of 5590 and 5594 = 2
Step 1: Find the prime factorization of 5590
5590 = 2 x 5 x 13 x 43
Step 2: Find the prime factorization of 5594
5594 = 2 x 2797
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 5594 is 2