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 7866, 7872 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7866 and 7872 is 6.
GCF(7866,7872) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7872
2 | 7872 |
2 | 3936 |
2 | 1968 |
2 | 984 |
2 | 492 |
2 | 246 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 7872 are 2,3,41. Prime factorization of 7872 in exponential form is:
7872 = 26×31×411
∴ So by taking common prime factors GCF of 7866 and 7872 is 6
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
Factors of 7872
List of positive integer factors of 7872 that divides 7872 without a remainder.
1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872
Greatest Common Factor
We found the factors and prime factorization of 7866 and 7872. The biggest common factor number is the GCF number.
So the greatest common factor 7866 and 7872 is 6.
Also check out the Least Common Multiple of 7866 and 7872
(i) The GCF of 7866 and 7872 is associative
GCF of 7866 and 7872 = GCF of 7872 and 7866
1. What is the GCF of 7866 and 7872?
Answer: GCF of 7866 and 7872 is 6.
2. 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.
3. What are the Factors of 7872?
Answer: Factors of 7872 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872. There are 28 integers that are factors of 7872. The greatest factor of 7872 is 7872.
4. How to Find the GCF of 7866 and 7872?
Answer:
Greatest Common Factor of 7866 and 7872 = 6
Step 1: Find the prime factorization of 7866
7866 = 2 x 3 x 3 x 19 x 23
Step 2: Find the prime factorization of 7872
7872 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 7866 and 7872 is 6