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 5516, 5517 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5516 and 5517 is 1.
GCF(5516,5517) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5516
2 | 5516 |
2 | 2758 |
7 | 1379 |
197 | 197 |
1 |
Prime factors of 5516 are 2,7,197. Prime factorization of 5516 in exponential form is:
5516 = 22×71×1971
Prime Factorization of 5517
3 | 5517 |
3 | 1839 |
613 | 613 |
1 |
Prime factors of 5517 are 3,613. Prime factorization of 5517 in exponential form is:
5517 = 32×6131
∴ So by taking common prime factors GCF of 5516 and 5517 is 1
Factors of 5516
List of positive integer factors of 5516 that divides 5516 without a remainder.
1,2,4,7,14,28,197,394,788,1379,2758,5516
Factors of 5517
List of positive integer factors of 5517 that divides 5517 without a remainder.
1,3,9,613,1839,5517
Greatest Common Factor
We found the factors and prime factorization of 5516 and 5517. The biggest common factor number is the GCF number.
So the greatest common factor 5516 and 5517 is 1.
Also check out the Least Common Multiple of 5516 and 5517
(i) The GCF of 5516 and 5517 is associative
GCF of 5516 and 5517 = GCF of 5517 and 5516
1. What is the GCF of 5516 and 5517?
Answer: GCF of 5516 and 5517 is 1.
2. What are the Factors of 5516?
Answer: Factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516. There are 12 integers that are factors of 5516. The greatest factor of 5516 is 5516.
3. What are the Factors of 5517?
Answer: Factors of 5517 are 1, 3, 9, 613, 1839, 5517. There are 6 integers that are factors of 5517. The greatest factor of 5517 is 5517.
4. How to Find the GCF of 5516 and 5517?
Answer:
Greatest Common Factor of 5516 and 5517 = 1
Step 1: Find the prime factorization of 5516
5516 = 2 x 2 x 7 x 197
Step 2: Find the prime factorization of 5517
5517 = 3 x 3 x 613
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 5516 and 5517 is 1