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 3831, 3834 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3831 and 3834 is 3.
GCF(3831,3834) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3831
3 | 3831 |
1277 | 1277 |
1 |
Prime factors of 3831 are 3,1277. Prime factorization of 3831 in exponential form is:
3831 = 31×12771
Prime Factorization of 3834
2 | 3834 |
3 | 1917 |
3 | 639 |
3 | 213 |
71 | 71 |
1 |
Prime factors of 3834 are 2,3,71. Prime factorization of 3834 in exponential form is:
3834 = 21×33×711
∴ So by taking common prime factors GCF of 3831 and 3834 is 3
Factors of 3831
List of positive integer factors of 3831 that divides 3831 without a remainder.
1,3,1277,3831
Factors of 3834
List of positive integer factors of 3834 that divides 3834 without a remainder.
1,2,3,6,9,18,27,54,71,142,213,426,639,1278,1917,3834
Greatest Common Factor
We found the factors and prime factorization of 3831 and 3834. The biggest common factor number is the GCF number.
So the greatest common factor 3831 and 3834 is 3.
Also check out the Least Common Multiple of 3831 and 3834
(i) The GCF of 3831 and 3834 is associative
GCF of 3831 and 3834 = GCF of 3834 and 3831
1. What is the GCF of 3831 and 3834?
Answer: GCF of 3831 and 3834 is 3.
2. What are the Factors of 3831?
Answer: Factors of 3831 are 1, 3, 1277, 3831. There are 4 integers that are factors of 3831. The greatest factor of 3831 is 3831.
3. What are the Factors of 3834?
Answer: Factors of 3834 are 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834. There are 16 integers that are factors of 3834. The greatest factor of 3834 is 3834.
4. How to Find the GCF of 3831 and 3834?
Answer:
Greatest Common Factor of 3831 and 3834 = 3
Step 1: Find the prime factorization of 3831
3831 = 3 x 1277
Step 2: Find the prime factorization of 3834
3834 = 2 x 3 x 3 x 3 x 71
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 3831 and 3834 is 3