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 5565, 5566 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5565 and 5566 is 1.
GCF(5565,5566) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5565
3 | 5565 |
5 | 1855 |
7 | 371 |
53 | 53 |
1 |
Prime factors of 5565 are 3,5,7,53. Prime factorization of 5565 in exponential form is:
5565 = 31×51×71×531
Prime Factorization of 5566
2 | 5566 |
11 | 2783 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 5566 are 2,11,23. Prime factorization of 5566 in exponential form is:
5566 = 21×112×231
∴ So by taking common prime factors GCF of 5565 and 5566 is 1
Factors of 5565
List of positive integer factors of 5565 that divides 5565 without a remainder.
1,3,5,7,15,21,35,53,105,159,265,371,795,1113,1855,5565
Factors of 5566
List of positive integer factors of 5566 that divides 5566 without a remainder.
1,2,11,22,23,46,121,242,253,506,2783,5566
Greatest Common Factor
We found the factors and prime factorization of 5565 and 5566. The biggest common factor number is the GCF number.
So the greatest common factor 5565 and 5566 is 1.
Also check out the Least Common Multiple of 5565 and 5566
(i) The GCF of 5565 and 5566 is associative
GCF of 5565 and 5566 = GCF of 5566 and 5565
1. What is the GCF of 5565 and 5566?
Answer: GCF of 5565 and 5566 is 1.
2. What are the Factors of 5565?
Answer: Factors of 5565 are 1, 3, 5, 7, 15, 21, 35, 53, 105, 159, 265, 371, 795, 1113, 1855, 5565. There are 16 integers that are factors of 5565. The greatest factor of 5565 is 5565.
3. What are the Factors of 5566?
Answer: Factors of 5566 are 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566. There are 12 integers that are factors of 5566. The greatest factor of 5566 is 5566.
4. How to Find the GCF of 5565 and 5566?
Answer:
Greatest Common Factor of 5565 and 5566 = 1
Step 1: Find the prime factorization of 5565
5565 = 3 x 5 x 7 x 53
Step 2: Find the prime factorization of 5566
5566 = 2 x 11 x 11 x 23
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 5565 and 5566 is 1