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 3838, 3843 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3838 and 3843 is 1.
GCF(3838,3843) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 3843
3 | 3843 |
3 | 1281 |
7 | 427 |
61 | 61 |
1 |
Prime factors of 3843 are 3,7,61. Prime factorization of 3843 in exponential form is:
3843 = 32×71×611
∴ So by taking common prime factors GCF of 3838 and 3843 is 1
Factors of 3838
List of positive integer factors of 3838 that divides 3838 without a remainder.
1,2,19,38,101,202,1919,3838
Factors of 3843
List of positive integer factors of 3843 that divides 3843 without a remainder.
1,3,7,9,21,61,63,183,427,549,1281,3843
Greatest Common Factor
We found the factors and prime factorization of 3838 and 3843. The biggest common factor number is the GCF number.
So the greatest common factor 3838 and 3843 is 1.
Also check out the Least Common Multiple of 3838 and 3843
(i) The GCF of 3838 and 3843 is associative
GCF of 3838 and 3843 = GCF of 3843 and 3838
1. What is the GCF of 3838 and 3843?
Answer: GCF of 3838 and 3843 is 1.
2. 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.
3. What are the Factors of 3843?
Answer: Factors of 3843 are 1, 3, 7, 9, 21, 61, 63, 183, 427, 549, 1281, 3843. There are 12 integers that are factors of 3843. The greatest factor of 3843 is 3843.
4. How to Find the GCF of 3838 and 3843?
Answer:
Greatest Common Factor of 3838 and 3843 = 1
Step 1: Find the prime factorization of 3838
3838 = 2 x 19 x 101
Step 2: Find the prime factorization of 3843
3843 = 3 x 3 x 7 x 61
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 3838 and 3843 is 1