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 3849, 3856 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3849 and 3856 is 1.
GCF(3849,3856) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3849
3 | 3849 |
1283 | 1283 |
1 |
Prime factors of 3849 are 3,1283. Prime factorization of 3849 in exponential form is:
3849 = 31×12831
Prime Factorization of 3856
2 | 3856 |
2 | 1928 |
2 | 964 |
2 | 482 |
241 | 241 |
1 |
Prime factors of 3856 are 2,241. Prime factorization of 3856 in exponential form is:
3856 = 24×2411
∴ So by taking common prime factors GCF of 3849 and 3856 is 1
Factors of 3849
List of positive integer factors of 3849 that divides 3849 without a remainder.
1,3,1283,3849
Factors of 3856
List of positive integer factors of 3856 that divides 3856 without a remainder.
1,2,4,8,16,241,482,964,1928,3856
Greatest Common Factor
We found the factors and prime factorization of 3849 and 3856. The biggest common factor number is the GCF number.
So the greatest common factor 3849 and 3856 is 1.
Also check out the Least Common Multiple of 3849 and 3856
(i) The GCF of 3849 and 3856 is associative
GCF of 3849 and 3856 = GCF of 3856 and 3849
1. What is the GCF of 3849 and 3856?
Answer: GCF of 3849 and 3856 is 1.
2. What are the Factors of 3849?
Answer: Factors of 3849 are 1, 3, 1283, 3849. There are 4 integers that are factors of 3849. The greatest factor of 3849 is 3849.
3. What are the Factors of 3856?
Answer: Factors of 3856 are 1, 2, 4, 8, 16, 241, 482, 964, 1928, 3856. There are 10 integers that are factors of 3856. The greatest factor of 3856 is 3856.
4. How to Find the GCF of 3849 and 3856?
Answer:
Greatest Common Factor of 3849 and 3856 = 1
Step 1: Find the prime factorization of 3849
3849 = 3 x 1283
Step 2: Find the prime factorization of 3856
3856 = 2 x 2 x 2 x 2 x 241
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 3849 and 3856 is 1