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 8610, 8615 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8610 and 8615 is 5.
GCF(8610,8615) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8610
2 | 8610 |
3 | 4305 |
5 | 1435 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 8610 are 2,3,5,7,41. Prime factorization of 8610 in exponential form is:
8610 = 21×31×51×71×411
Prime Factorization of 8615
5 | 8615 |
1723 | 1723 |
1 |
Prime factors of 8615 are 5,1723. Prime factorization of 8615 in exponential form is:
8615 = 51×17231
∴ So by taking common prime factors GCF of 8610 and 8615 is 5
Factors of 8610
List of positive integer factors of 8610 that divides 8610 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610
Factors of 8615
List of positive integer factors of 8615 that divides 8615 without a remainder.
1,5,1723,8615
Greatest Common Factor
We found the factors and prime factorization of 8610 and 8615. The biggest common factor number is the GCF number.
So the greatest common factor 8610 and 8615 is 5.
Also check out the Least Common Multiple of 8610 and 8615
(i) The GCF of 8610 and 8615 is associative
GCF of 8610 and 8615 = GCF of 8615 and 8610
1. What is the GCF of 8610 and 8615?
Answer: GCF of 8610 and 8615 is 5.
2. What are the Factors of 8610?
Answer: Factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610. There are 32 integers that are factors of 8610. The greatest factor of 8610 is 8610.
3. What are the Factors of 8615?
Answer: Factors of 8615 are 1, 5, 1723, 8615. There are 4 integers that are factors of 8615. The greatest factor of 8615 is 8615.
4. How to Find the GCF of 8610 and 8615?
Answer:
Greatest Common Factor of 8610 and 8615 = 5
Step 1: Find the prime factorization of 8610
8610 = 2 x 3 x 5 x 7 x 41
Step 2: Find the prime factorization of 8615
8615 = 5 x 1723
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 8610 and 8615 is 5