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 8660, 8665 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8660 and 8665 is 5.
GCF(8660,8665) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8660
2 | 8660 |
2 | 4330 |
5 | 2165 |
433 | 433 |
1 |
Prime factors of 8660 are 2,5,433. Prime factorization of 8660 in exponential form is:
8660 = 22×51×4331
Prime Factorization of 8665
5 | 8665 |
1733 | 1733 |
1 |
Prime factors of 8665 are 5,1733. Prime factorization of 8665 in exponential form is:
8665 = 51×17331
∴ So by taking common prime factors GCF of 8660 and 8665 is 5
Factors of 8660
List of positive integer factors of 8660 that divides 8660 without a remainder.
1,2,4,5,10,20,433,866,1732,2165,4330,8660
Factors of 8665
List of positive integer factors of 8665 that divides 8665 without a remainder.
1,5,1733,8665
Greatest Common Factor
We found the factors and prime factorization of 8660 and 8665. The biggest common factor number is the GCF number.
So the greatest common factor 8660 and 8665 is 5.
Also check out the Least Common Multiple of 8660 and 8665
(i) The GCF of 8660 and 8665 is associative
GCF of 8660 and 8665 = GCF of 8665 and 8660
1. What is the GCF of 8660 and 8665?
Answer: GCF of 8660 and 8665 is 5.
2. What are the Factors of 8660?
Answer: Factors of 8660 are 1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660. There are 12 integers that are factors of 8660. The greatest factor of 8660 is 8660.
3. What are the Factors of 8665?
Answer: Factors of 8665 are 1, 5, 1733, 8665. There are 4 integers that are factors of 8665. The greatest factor of 8665 is 8665.
4. How to Find the GCF of 8660 and 8665?
Answer:
Greatest Common Factor of 8660 and 8665 = 5
Step 1: Find the prime factorization of 8660
8660 = 2 x 2 x 5 x 433
Step 2: Find the prime factorization of 8665
8665 = 5 x 1733
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 8660 and 8665 is 5