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 5559, 5565 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5559 and 5565 is 3.
GCF(5559,5565) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5559
3 | 5559 |
17 | 1853 |
109 | 109 |
1 |
Prime factors of 5559 are 3,17,109. Prime factorization of 5559 in exponential form is:
5559 = 31×171×1091
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
∴ So by taking common prime factors GCF of 5559 and 5565 is 3
Factors of 5559
List of positive integer factors of 5559 that divides 5559 without a remainder.
1,3,17,51,109,327,1853,5559
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
Greatest Common Factor
We found the factors and prime factorization of 5559 and 5565. The biggest common factor number is the GCF number.
So the greatest common factor 5559 and 5565 is 3.
Also check out the Least Common Multiple of 5559 and 5565
(i) The GCF of 5559 and 5565 is associative
GCF of 5559 and 5565 = GCF of 5565 and 5559
1. What is the GCF of 5559 and 5565?
Answer: GCF of 5559 and 5565 is 3.
2. What are the Factors of 5559?
Answer: Factors of 5559 are 1, 3, 17, 51, 109, 327, 1853, 5559. There are 8 integers that are factors of 5559. The greatest factor of 5559 is 5559.
3. 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.
4. How to Find the GCF of 5559 and 5565?
Answer:
Greatest Common Factor of 5559 and 5565 = 3
Step 1: Find the prime factorization of 5559
5559 = 3 x 17 x 109
Step 2: Find the prime factorization of 5565
5565 = 3 x 5 x 7 x 53
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 5559 and 5565 is 3