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 8685, 8690 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8685 and 8690 is 5.
GCF(8685,8690) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8685
3 | 8685 |
3 | 2895 |
5 | 965 |
193 | 193 |
1 |
Prime factors of 8685 are 3,5,193. Prime factorization of 8685 in exponential form is:
8685 = 32×51×1931
Prime Factorization of 8690
2 | 8690 |
5 | 4345 |
11 | 869 |
79 | 79 |
1 |
Prime factors of 8690 are 2,5,11,79. Prime factorization of 8690 in exponential form is:
8690 = 21×51×111×791
∴ So by taking common prime factors GCF of 8685 and 8690 is 5
Factors of 8685
List of positive integer factors of 8685 that divides 8685 without a remainder.
1,3,5,9,15,45,193,579,965,1737,2895,8685
Factors of 8690
List of positive integer factors of 8690 that divides 8690 without a remainder.
1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690
Greatest Common Factor
We found the factors and prime factorization of 8685 and 8690. The biggest common factor number is the GCF number.
So the greatest common factor 8685 and 8690 is 5.
Also check out the Least Common Multiple of 8685 and 8690
(i) The GCF of 8685 and 8690 is associative
GCF of 8685 and 8690 = GCF of 8690 and 8685
1. What is the GCF of 8685 and 8690?
Answer: GCF of 8685 and 8690 is 5.
2. What are the Factors of 8685?
Answer: Factors of 8685 are 1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685. There are 12 integers that are factors of 8685. The greatest factor of 8685 is 8685.
3. What are the Factors of 8690?
Answer: Factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690. There are 16 integers that are factors of 8690. The greatest factor of 8690 is 8690.
4. How to Find the GCF of 8685 and 8690?
Answer:
Greatest Common Factor of 8685 and 8690 = 5
Step 1: Find the prime factorization of 8685
8685 = 3 x 3 x 5 x 193
Step 2: Find the prime factorization of 8690
8690 = 2 x 5 x 11 x 79
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 8685 and 8690 is 5