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 7863, 7866 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7863 and 7866 is 3.
GCF(7863,7866) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7863
3 | 7863 |
2621 | 2621 |
1 |
Prime factors of 7863 are 3,2621. Prime factorization of 7863 in exponential form is:
7863 = 31×26211
Prime Factorization of 7866
2 | 7866 |
3 | 3933 |
3 | 1311 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 7866 are 2,3,19,23. Prime factorization of 7866 in exponential form is:
7866 = 21×32×191×231
∴ So by taking common prime factors GCF of 7863 and 7866 is 3
Factors of 7863
List of positive integer factors of 7863 that divides 7863 without a remainder.
1,3,2621,7863
Factors of 7866
List of positive integer factors of 7866 that divides 7866 without a remainder.
1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866
Greatest Common Factor
We found the factors and prime factorization of 7863 and 7866. The biggest common factor number is the GCF number.
So the greatest common factor 7863 and 7866 is 3.
Also check out the Least Common Multiple of 7863 and 7866
(i) The GCF of 7863 and 7866 is associative
GCF of 7863 and 7866 = GCF of 7866 and 7863
1. What is the GCF of 7863 and 7866?
Answer: GCF of 7863 and 7866 is 3.
2. What are the Factors of 7863?
Answer: Factors of 7863 are 1, 3, 2621, 7863. There are 4 integers that are factors of 7863. The greatest factor of 7863 is 7863.
3. What are the Factors of 7866?
Answer: Factors of 7866 are 1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866. There are 24 integers that are factors of 7866. The greatest factor of 7866 is 7866.
4. How to Find the GCF of 7863 and 7866?
Answer:
Greatest Common Factor of 7863 and 7866 = 3
Step 1: Find the prime factorization of 7863
7863 = 3 x 2621
Step 2: Find the prime factorization of 7866
7866 = 2 x 3 x 3 x 19 x 23
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 7863 and 7866 is 3