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 866, 868 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 866 and 868 is 2.
GCF(866,868) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 866
2 | 866 |
433 | 433 |
1 |
Prime factors of 866 are 2,433. Prime factorization of 866 in exponential form is:
866 = 21×4331
Prime Factorization of 868
2 | 868 |
2 | 434 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 868 are 2,7,31. Prime factorization of 868 in exponential form is:
868 = 22×71×311
∴ So by taking common prime factors GCF of 866 and 868 is 2
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Greatest Common Factor
We found the factors and prime factorization of 866 and 868. The biggest common factor number is the GCF number.
So the greatest common factor 866 and 868 is 2.
Also check out the Least Common Multiple of 866 and 868
(i) The GCF of 866 and 868 is associative
GCF of 866 and 868 = GCF of 868 and 866
1. What is the GCF of 866 and 868?
Answer: GCF of 866 and 868 is 2.
2. What are the Factors of 866?
Answer: Factors of 866 are 1, 2, 433, 866. There are 4 integers that are factors of 866. The greatest factor of 866 is 866.
3. What are the Factors of 868?
Answer: Factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. There are 12 integers that are factors of 868. The greatest factor of 868 is 868.
4. How to Find the GCF of 866 and 868?
Answer:
Greatest Common Factor of 866 and 868 = 2
Step 1: Find the prime factorization of 866
866 = 2 x 433
Step 2: Find the prime factorization of 868
868 = 2 x 2 x 7 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 866 and 868 is 2