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 8786, 8790 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8786 and 8790 is 2.
GCF(8786,8790) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8786
2 | 8786 |
23 | 4393 |
191 | 191 |
1 |
Prime factors of 8786 are 2,23,191. Prime factorization of 8786 in exponential form is:
8786 = 21×231×1911
Prime Factorization of 8790
2 | 8790 |
3 | 4395 |
5 | 1465 |
293 | 293 |
1 |
Prime factors of 8790 are 2,3,5,293. Prime factorization of 8790 in exponential form is:
8790 = 21×31×51×2931
∴ So by taking common prime factors GCF of 8786 and 8790 is 2
Factors of 8786
List of positive integer factors of 8786 that divides 8786 without a remainder.
1,2,23,46,191,382,4393,8786
Factors of 8790
List of positive integer factors of 8790 that divides 8790 without a remainder.
1,2,3,5,6,10,15,30,293,586,879,1465,1758,2930,4395,8790
Greatest Common Factor
We found the factors and prime factorization of 8786 and 8790. The biggest common factor number is the GCF number.
So the greatest common factor 8786 and 8790 is 2.
Also check out the Least Common Multiple of 8786 and 8790
(i) The GCF of 8786 and 8790 is associative
GCF of 8786 and 8790 = GCF of 8790 and 8786
1. What is the GCF of 8786 and 8790?
Answer: GCF of 8786 and 8790 is 2.
2. What are the Factors of 8786?
Answer: Factors of 8786 are 1, 2, 23, 46, 191, 382, 4393, 8786. There are 8 integers that are factors of 8786. The greatest factor of 8786 is 8786.
3. What are the Factors of 8790?
Answer: Factors of 8790 are 1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790. There are 16 integers that are factors of 8790. The greatest factor of 8790 is 8790.
4. How to Find the GCF of 8786 and 8790?
Answer:
Greatest Common Factor of 8786 and 8790 = 2
Step 1: Find the prime factorization of 8786
8786 = 2 x 23 x 191
Step 2: Find the prime factorization of 8790
8790 = 2 x 3 x 5 x 293
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8786 and 8790 is 2