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 5493, 5500 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5493 and 5500 is 1.
GCF(5493,5500) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5493
3 | 5493 |
1831 | 1831 |
1 |
Prime factors of 5493 are 3,1831. Prime factorization of 5493 in exponential form is:
5493 = 31×18311
Prime Factorization of 5500
2 | 5500 |
2 | 2750 |
5 | 1375 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 5500 are 2,5,11. Prime factorization of 5500 in exponential form is:
5500 = 22×53×111
∴ So by taking common prime factors GCF of 5493 and 5500 is 1
Factors of 5493
List of positive integer factors of 5493 that divides 5493 without a remainder.
1,3,1831,5493
Factors of 5500
List of positive integer factors of 5500 that divides 5500 without a remainder.
1,2,4,5,10,11,20,22,25,44,50,55,100,110,125,220,250,275,500,550,1100,1375,2750,5500
Greatest Common Factor
We found the factors and prime factorization of 5493 and 5500. The biggest common factor number is the GCF number.
So the greatest common factor 5493 and 5500 is 1.
Also check out the Least Common Multiple of 5493 and 5500
(i) The GCF of 5493 and 5500 is associative
GCF of 5493 and 5500 = GCF of 5500 and 5493
1. What is the GCF of 5493 and 5500?
Answer: GCF of 5493 and 5500 is 1.
2. What are the Factors of 5493?
Answer: Factors of 5493 are 1, 3, 1831, 5493. There are 4 integers that are factors of 5493. The greatest factor of 5493 is 5493.
3. What are the Factors of 5500?
Answer: Factors of 5500 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500. There are 24 integers that are factors of 5500. The greatest factor of 5500 is 5500.
4. How to Find the GCF of 5493 and 5500?
Answer:
Greatest Common Factor of 5493 and 5500 = 1
Step 1: Find the prime factorization of 5493
5493 = 3 x 1831
Step 2: Find the prime factorization of 5500
5500 = 2 x 2 x 5 x 5 x 5 x 11
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 5493 and 5500 is 1