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 5552, 5559 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5552 and 5559 is 1.
GCF(5552,5559) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5552
2 | 5552 |
2 | 2776 |
2 | 1388 |
2 | 694 |
347 | 347 |
1 |
Prime factors of 5552 are 2,347. Prime factorization of 5552 in exponential form is:
5552 = 24×3471
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
∴ So by taking common prime factors GCF of 5552 and 5559 is 1
Factors of 5552
List of positive integer factors of 5552 that divides 5552 without a remainder.
1,2,4,8,16,347,694,1388,2776,5552
Factors of 5559
List of positive integer factors of 5559 that divides 5559 without a remainder.
1,3,17,51,109,327,1853,5559
Greatest Common Factor
We found the factors and prime factorization of 5552 and 5559. The biggest common factor number is the GCF number.
So the greatest common factor 5552 and 5559 is 1.
Also check out the Least Common Multiple of 5552 and 5559
(i) The GCF of 5552 and 5559 is associative
GCF of 5552 and 5559 = GCF of 5559 and 5552
1. What is the GCF of 5552 and 5559?
Answer: GCF of 5552 and 5559 is 1.
2. What are the Factors of 5552?
Answer: Factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552. There are 10 integers that are factors of 5552. The greatest factor of 5552 is 5552.
3. 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.
4. How to Find the GCF of 5552 and 5559?
Answer:
Greatest Common Factor of 5552 and 5559 = 1
Step 1: Find the prime factorization of 5552
5552 = 2 x 2 x 2 x 2 x 347
Step 2: Find the prime factorization of 5559
5559 = 3 x 17 x 109
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 5552 and 5559 is 1