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 8706, 8709 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8706 and 8709 is 3.
GCF(8706,8709) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8706
2 | 8706 |
3 | 4353 |
1451 | 1451 |
1 |
Prime factors of 8706 are 2,3,1451. Prime factorization of 8706 in exponential form is:
8706 = 21×31×14511
Prime Factorization of 8709
3 | 8709 |
2903 | 2903 |
1 |
Prime factors of 8709 are 3,2903. Prime factorization of 8709 in exponential form is:
8709 = 31×29031
∴ So by taking common prime factors GCF of 8706 and 8709 is 3
Factors of 8706
List of positive integer factors of 8706 that divides 8706 without a remainder.
1,2,3,6,1451,2902,4353,8706
Factors of 8709
List of positive integer factors of 8709 that divides 8709 without a remainder.
1,3,2903,8709
Greatest Common Factor
We found the factors and prime factorization of 8706 and 8709. The biggest common factor number is the GCF number.
So the greatest common factor 8706 and 8709 is 3.
Also check out the Least Common Multiple of 8706 and 8709
(i) The GCF of 8706 and 8709 is associative
GCF of 8706 and 8709 = GCF of 8709 and 8706
1. What is the GCF of 8706 and 8709?
Answer: GCF of 8706 and 8709 is 3.
2. What are the Factors of 8706?
Answer: Factors of 8706 are 1, 2, 3, 6, 1451, 2902, 4353, 8706. There are 8 integers that are factors of 8706. The greatest factor of 8706 is 8706.
3. What are the Factors of 8709?
Answer: Factors of 8709 are 1, 3, 2903, 8709. There are 4 integers that are factors of 8709. The greatest factor of 8709 is 8709.
4. How to Find the GCF of 8706 and 8709?
Answer:
Greatest Common Factor of 8706 and 8709 = 3
Step 1: Find the prime factorization of 8706
8706 = 2 x 3 x 1451
Step 2: Find the prime factorization of 8709
8709 = 3 x 2903
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 8706 and 8709 is 3