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 5610, 5617 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5610 and 5617 is 1.
GCF(5610,5617) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5610
2 | 5610 |
3 | 2805 |
5 | 935 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 5610 are 2,3,5,11,17. Prime factorization of 5610 in exponential form is:
5610 = 21×31×51×111×171
Prime Factorization of 5617
41 | 5617 |
137 | 137 |
1 |
Prime factors of 5617 are 41,137. Prime factorization of 5617 in exponential form is:
5617 = 411×1371
∴ So by taking common prime factors GCF of 5610 and 5617 is 1
Factors of 5610
List of positive integer factors of 5610 that divides 5610 without a remainder.
1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Factors of 5617
List of positive integer factors of 5617 that divides 5617 without a remainder.
1,41,137,5617
Greatest Common Factor
We found the factors and prime factorization of 5610 and 5617. The biggest common factor number is the GCF number.
So the greatest common factor 5610 and 5617 is 1.
Also check out the Least Common Multiple of 5610 and 5617
(i) The GCF of 5610 and 5617 is associative
GCF of 5610 and 5617 = GCF of 5617 and 5610
1. What is the GCF of 5610 and 5617?
Answer: GCF of 5610 and 5617 is 1.
2. What are the Factors of 5610?
Answer: Factors of 5610 are 1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610. There are 32 integers that are factors of 5610. The greatest factor of 5610 is 5610.
3. What are the Factors of 5617?
Answer: Factors of 5617 are 1, 41, 137, 5617. There are 4 integers that are factors of 5617. The greatest factor of 5617 is 5617.
4. How to Find the GCF of 5610 and 5617?
Answer:
Greatest Common Factor of 5610 and 5617 = 1
Step 1: Find the prime factorization of 5610
5610 = 2 x 3 x 5 x 11 x 17
Step 2: Find the prime factorization of 5617
5617 = 41 x 137
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 5610 and 5617 is 1