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 5506, 5508 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5506 and 5508 is 2.
GCF(5506,5508) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5508
2 | 5508 |
2 | 2754 |
3 | 1377 |
3 | 459 |
3 | 153 |
3 | 51 |
17 | 17 |
1 |
Prime factors of 5508 are 2,3,17. Prime factorization of 5508 in exponential form is:
5508 = 22×34×171
∴ So by taking common prime factors GCF of 5506 and 5508 is 2
Factors of 5506
List of positive integer factors of 5506 that divides 5506 without a remainder.
1,2,2753,5506
Factors of 5508
List of positive integer factors of 5508 that divides 5508 without a remainder.
1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,81,102,108,153,162,204,306,324,459,612,918,1377,1836,2754,5508
Greatest Common Factor
We found the factors and prime factorization of 5506 and 5508. The biggest common factor number is the GCF number.
So the greatest common factor 5506 and 5508 is 2.
Also check out the Least Common Multiple of 5506 and 5508
(i) The GCF of 5506 and 5508 is associative
GCF of 5506 and 5508 = GCF of 5508 and 5506
1. What is the GCF of 5506 and 5508?
Answer: GCF of 5506 and 5508 is 2.
2. 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.
3. What are the Factors of 5508?
Answer: Factors of 5508 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508. There are 30 integers that are factors of 5508. The greatest factor of 5508 is 5508.
4. How to Find the GCF of 5506 and 5508?
Answer:
Greatest Common Factor of 5506 and 5508 = 2
Step 1: Find the prime factorization of 5506
5506 = 2 x 2753
Step 2: Find the prime factorization of 5508
5508 = 2 x 2 x 3 x 3 x 3 x 3 x 17
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 5506 and 5508 is 2