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 3843, 3846 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3843 and 3846 is 3.
GCF(3843,3846) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 3846
2 | 3846 |
3 | 1923 |
641 | 641 |
1 |
Prime factors of 3846 are 2,3,641. Prime factorization of 3846 in exponential form is:
3846 = 21×31×6411
∴ So by taking common prime factors GCF of 3843 and 3846 is 3
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
Factors of 3846
List of positive integer factors of 3846 that divides 3846 without a remainder.
1,2,3,6,641,1282,1923,3846
Greatest Common Factor
We found the factors and prime factorization of 3843 and 3846. The biggest common factor number is the GCF number.
So the greatest common factor 3843 and 3846 is 3.
Also check out the Least Common Multiple of 3843 and 3846
(i) The GCF of 3843 and 3846 is associative
GCF of 3843 and 3846 = GCF of 3846 and 3843
1. What is the GCF of 3843 and 3846?
Answer: GCF of 3843 and 3846 is 3.
2. 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.
3. What are the Factors of 3846?
Answer: Factors of 3846 are 1, 2, 3, 6, 641, 1282, 1923, 3846. There are 8 integers that are factors of 3846. The greatest factor of 3846 is 3846.
4. How to Find the GCF of 3843 and 3846?
Answer:
Greatest Common Factor of 3843 and 3846 = 3
Step 1: Find the prime factorization of 3843
3843 = 3 x 3 x 7 x 61
Step 2: Find the prime factorization of 3846
3846 = 2 x 3 x 641
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 3843 and 3846 is 3