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 3876, 3882 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3876 and 3882 is 6.
GCF(3876,3882) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3876
2 | 3876 |
2 | 1938 |
3 | 969 |
17 | 323 |
19 | 19 |
1 |
Prime factors of 3876 are 2,3,17,19. Prime factorization of 3876 in exponential form is:
3876 = 22×31×171×191
Prime Factorization of 3882
2 | 3882 |
3 | 1941 |
647 | 647 |
1 |
Prime factors of 3882 are 2,3,647. Prime factorization of 3882 in exponential form is:
3882 = 21×31×6471
∴ So by taking common prime factors GCF of 3876 and 3882 is 6
Factors of 3876
List of positive integer factors of 3876 that divides 3876 without a remainder.
1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876
Factors of 3882
List of positive integer factors of 3882 that divides 3882 without a remainder.
1,2,3,6,647,1294,1941,3882
Greatest Common Factor
We found the factors and prime factorization of 3876 and 3882. The biggest common factor number is the GCF number.
So the greatest common factor 3876 and 3882 is 6.
Also check out the Least Common Multiple of 3876 and 3882
(i) The GCF of 3876 and 3882 is associative
GCF of 3876 and 3882 = GCF of 3882 and 3876
1. What is the GCF of 3876 and 3882?
Answer: GCF of 3876 and 3882 is 6.
2. What are the Factors of 3876?
Answer: Factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876. There are 24 integers that are factors of 3876. The greatest factor of 3876 is 3876.
3. What are the Factors of 3882?
Answer: Factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882. There are 8 integers that are factors of 3882. The greatest factor of 3882 is 3882.
4. How to Find the GCF of 3876 and 3882?
Answer:
Greatest Common Factor of 3876 and 3882 = 6
Step 1: Find the prime factorization of 3876
3876 = 2 x 2 x 3 x 17 x 19
Step 2: Find the prime factorization of 3882
3882 = 2 x 3 x 647
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 3876 and 3882 is 6