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, 5567 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5559 and 5567 is 1.
GCF(5559,5567) = 1
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 5567
19 | 5567 |
293 | 293 |
1 |
Prime factors of 5567 are 19,293. Prime factorization of 5567 in exponential form is:
5567 = 191×2931
∴ So by taking common prime factors GCF of 5559 and 5567 is 1
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 5567
List of positive integer factors of 5567 that divides 5567 without a remainder.
1,19,293,5567
Greatest Common Factor
We found the factors and prime factorization of 5559 and 5567. The biggest common factor number is the GCF number.
So the greatest common factor 5559 and 5567 is 1.
Also check out the Least Common Multiple of 5559 and 5567
(i) The GCF of 5559 and 5567 is associative
GCF of 5559 and 5567 = GCF of 5567 and 5559
1. What is the GCF of 5559 and 5567?
Answer: GCF of 5559 and 5567 is 1.
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 5567?
Answer: Factors of 5567 are 1, 19, 293, 5567. There are 4 integers that are factors of 5567. The greatest factor of 5567 is 5567.
4. How to Find the GCF of 5559 and 5567?
Answer:
Greatest Common Factor of 5559 and 5567 = 1
Step 1: Find the prime factorization of 5559
5559 = 3 x 17 x 109
Step 2: Find the prime factorization of 5567
5567 = 19 x 293
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 5559 and 5567 is 1