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, 3838 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3831 and 3838 is 1.
GCF(3831,3838) = 1
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 3838
2 | 3838 |
19 | 1919 |
101 | 101 |
1 |
Prime factors of 3838 are 2,19,101. Prime factorization of 3838 in exponential form is:
3838 = 21×191×1011
∴ So by taking common prime factors GCF of 3831 and 3838 is 1
Factors of 3831
List of positive integer factors of 3831 that divides 3831 without a remainder.
1,3,1277,3831
Factors of 3838
List of positive integer factors of 3838 that divides 3838 without a remainder.
1,2,19,38,101,202,1919,3838
Greatest Common Factor
We found the factors and prime factorization of 3831 and 3838. The biggest common factor number is the GCF number.
So the greatest common factor 3831 and 3838 is 1.
Also check out the Least Common Multiple of 3831 and 3838
(i) The GCF of 3831 and 3838 is associative
GCF of 3831 and 3838 = GCF of 3838 and 3831
1. What is the GCF of 3831 and 3838?
Answer: GCF of 3831 and 3838 is 1.
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 3838?
Answer: Factors of 3838 are 1, 2, 19, 38, 101, 202, 1919, 3838. There are 8 integers that are factors of 3838. The greatest factor of 3838 is 3838.
4. How to Find the GCF of 3831 and 3838?
Answer:
Greatest Common Factor of 3831 and 3838 = 1
Step 1: Find the prime factorization of 3831
3831 = 3 x 1277
Step 2: Find the prime factorization of 3838
3838 = 2 x 19 x 101
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 3831 and 3838 is 1