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, 869 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 866 and 869 is 1.
GCF(866,869) = 1
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 869
11 | 869 |
79 | 79 |
1 |
Prime factors of 869 are 11,79. Prime factorization of 869 in exponential form is:
869 = 111×791
∴ So by taking common prime factors GCF of 866 and 869 is 1
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Greatest Common Factor
We found the factors and prime factorization of 866 and 869. The biggest common factor number is the GCF number.
So the greatest common factor 866 and 869 is 1.
Also check out the Least Common Multiple of 866 and 869
(i) The GCF of 866 and 869 is associative
GCF of 866 and 869 = GCF of 869 and 866
1. What is the GCF of 866 and 869?
Answer: GCF of 866 and 869 is 1.
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 869?
Answer: Factors of 869 are 1, 11, 79, 869. There are 4 integers that are factors of 869. The greatest factor of 869 is 869.
4. How to Find the GCF of 866 and 869?
Answer:
Greatest Common Factor of 866 and 869 = 1
Step 1: Find the prime factorization of 866
866 = 2 x 433
Step 2: Find the prime factorization of 869
869 = 11 x 79
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 866 and 869 is 1