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, 3845 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3843 and 3845 is 1.
GCF(3843,3845) = 1
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 3845
5 | 3845 |
769 | 769 |
1 |
Prime factors of 3845 are 5,769. Prime factorization of 3845 in exponential form is:
3845 = 51×7691
∴ So by taking common prime factors GCF of 3843 and 3845 is 1
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 3845
List of positive integer factors of 3845 that divides 3845 without a remainder.
1,5,769,3845
Greatest Common Factor
We found the factors and prime factorization of 3843 and 3845. The biggest common factor number is the GCF number.
So the greatest common factor 3843 and 3845 is 1.
Also check out the Least Common Multiple of 3843 and 3845
(i) The GCF of 3843 and 3845 is associative
GCF of 3843 and 3845 = GCF of 3845 and 3843
1. What is the GCF of 3843 and 3845?
Answer: GCF of 3843 and 3845 is 1.
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 3845?
Answer: Factors of 3845 are 1, 5, 769, 3845. There are 4 integers that are factors of 3845. The greatest factor of 3845 is 3845.
4. How to Find the GCF of 3843 and 3845?
Answer:
Greatest Common Factor of 3843 and 3845 = 1
Step 1: Find the prime factorization of 3843
3843 = 3 x 3 x 7 x 61
Step 2: Find the prime factorization of 3845
3845 = 5 x 769
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 3843 and 3845 is 1