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 5500, 5504 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5500 and 5504 is 4.
GCF(5500,5504) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5504
2 | 5504 |
2 | 2752 |
2 | 1376 |
2 | 688 |
2 | 344 |
2 | 172 |
2 | 86 |
43 | 43 |
1 |
Prime factors of 5504 are 2,43. Prime factorization of 5504 in exponential form is:
5504 = 27×431
∴ So by taking common prime factors GCF of 5500 and 5504 is 4
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
Factors of 5504
List of positive integer factors of 5504 that divides 5504 without a remainder.
1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504
Greatest Common Factor
We found the factors and prime factorization of 5500 and 5504. The biggest common factor number is the GCF number.
So the greatest common factor 5500 and 5504 is 4.
Also check out the Least Common Multiple of 5500 and 5504
(i) The GCF of 5500 and 5504 is associative
GCF of 5500 and 5504 = GCF of 5504 and 5500
1. What is the GCF of 5500 and 5504?
Answer: GCF of 5500 and 5504 is 4.
2. 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.
3. What are the Factors of 5504?
Answer: Factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504. There are 16 integers that are factors of 5504. The greatest factor of 5504 is 5504.
4. How to Find the GCF of 5500 and 5504?
Answer:
Greatest Common Factor of 5500 and 5504 = 4
Step 1: Find the prime factorization of 5500
5500 = 2 x 2 x 5 x 5 x 5 x 11
Step 2: Find the prime factorization of 5504
5504 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 43
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 5500 and 5504 is 4