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 8858, 8866 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8858 and 8866 is 2.
GCF(8858,8866) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8858
2 | 8858 |
43 | 4429 |
103 | 103 |
1 |
Prime factors of 8858 are 2,43,103. Prime factorization of 8858 in exponential form is:
8858 = 21×431×1031
Prime Factorization of 8866
2 | 8866 |
11 | 4433 |
13 | 403 |
31 | 31 |
1 |
Prime factors of 8866 are 2,11,13,31. Prime factorization of 8866 in exponential form is:
8866 = 21×111×131×311
∴ So by taking common prime factors GCF of 8858 and 8866 is 2
Factors of 8858
List of positive integer factors of 8858 that divides 8858 without a remainder.
1,2,43,86,103,206,4429,8858
Factors of 8866
List of positive integer factors of 8866 that divides 8866 without a remainder.
1,2,11,13,22,26,31,62,143,286,341,403,682,806,4433,8866
Greatest Common Factor
We found the factors and prime factorization of 8858 and 8866. The biggest common factor number is the GCF number.
So the greatest common factor 8858 and 8866 is 2.
Also check out the Least Common Multiple of 8858 and 8866
(i) The GCF of 8858 and 8866 is associative
GCF of 8858 and 8866 = GCF of 8866 and 8858
1. What is the GCF of 8858 and 8866?
Answer: GCF of 8858 and 8866 is 2.
2. What are the Factors of 8858?
Answer: Factors of 8858 are 1, 2, 43, 86, 103, 206, 4429, 8858. There are 8 integers that are factors of 8858. The greatest factor of 8858 is 8858.
3. What are the Factors of 8866?
Answer: Factors of 8866 are 1, 2, 11, 13, 22, 26, 31, 62, 143, 286, 341, 403, 682, 806, 4433, 8866. There are 16 integers that are factors of 8866. The greatest factor of 8866 is 8866.
4. How to Find the GCF of 8858 and 8866?
Answer:
Greatest Common Factor of 8858 and 8866 = 2
Step 1: Find the prime factorization of 8858
8858 = 2 x 43 x 103
Step 2: Find the prime factorization of 8866
8866 = 2 x 11 x 13 x 31
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 8858 and 8866 is 2