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 5504, 5506 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5504 and 5506 is 2.
GCF(5504,5506) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5506
2 | 5506 |
2753 | 2753 |
1 |
Prime factors of 5506 are 2,2753. Prime factorization of 5506 in exponential form is:
5506 = 21×27531
∴ So by taking common prime factors GCF of 5504 and 5506 is 2
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
Factors of 5506
List of positive integer factors of 5506 that divides 5506 without a remainder.
1,2,2753,5506
Greatest Common Factor
We found the factors and prime factorization of 5504 and 5506. The biggest common factor number is the GCF number.
So the greatest common factor 5504 and 5506 is 2.
Also check out the Least Common Multiple of 5504 and 5506
(i) The GCF of 5504 and 5506 is associative
GCF of 5504 and 5506 = GCF of 5506 and 5504
1. What is the GCF of 5504 and 5506?
Answer: GCF of 5504 and 5506 is 2.
2. 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.
3. What are the Factors of 5506?
Answer: Factors of 5506 are 1, 2, 2753, 5506. There are 4 integers that are factors of 5506. The greatest factor of 5506 is 5506.
4. How to Find the GCF of 5504 and 5506?
Answer:
Greatest Common Factor of 5504 and 5506 = 2
Step 1: Find the prime factorization of 5504
5504 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 43
Step 2: Find the prime factorization of 5506
5506 = 2 x 2753
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 5504 and 5506 is 2