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 5566, 5574 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5566 and 5574 is 2.
GCF(5566,5574) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5574
2 | 5574 |
3 | 2787 |
929 | 929 |
1 |
Prime factors of 5574 are 2,3,929. Prime factorization of 5574 in exponential form is:
5574 = 21×31×9291
∴ So by taking common prime factors GCF of 5566 and 5574 is 2
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
Factors of 5574
List of positive integer factors of 5574 that divides 5574 without a remainder.
1,2,3,6,929,1858,2787,5574
Greatest Common Factor
We found the factors and prime factorization of 5566 and 5574. The biggest common factor number is the GCF number.
So the greatest common factor 5566 and 5574 is 2.
Also check out the Least Common Multiple of 5566 and 5574
(i) The GCF of 5566 and 5574 is associative
GCF of 5566 and 5574 = GCF of 5574 and 5566
1. What is the GCF of 5566 and 5574?
Answer: GCF of 5566 and 5574 is 2.
2. 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.
3. What are the Factors of 5574?
Answer: Factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574. There are 8 integers that are factors of 5574. The greatest factor of 5574 is 5574.
4. How to Find the GCF of 5566 and 5574?
Answer:
Greatest Common Factor of 5566 and 5574 = 2
Step 1: Find the prime factorization of 5566
5566 = 2 x 11 x 11 x 23
Step 2: Find the prime factorization of 5574
5574 = 2 x 3 x 929
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 5566 and 5574 is 2