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, 3850 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3843 and 3850 is 7.
GCF(3843,3850) = 7
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 3850
2 | 3850 |
5 | 1925 |
5 | 385 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 3850 are 2,5,7,11. Prime factorization of 3850 in exponential form is:
3850 = 21×52×71×111
∴ So by taking common prime factors GCF of 3843 and 3850 is 7
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 3850
List of positive integer factors of 3850 that divides 3850 without a remainder.
1,2,5,7,10,11,14,22,25,35,50,55,70,77,110,154,175,275,350,385,550,770,1925,3850
Greatest Common Factor
We found the factors and prime factorization of 3843 and 3850. The biggest common factor number is the GCF number.
So the greatest common factor 3843 and 3850 is 7.
Also check out the Least Common Multiple of 3843 and 3850
(i) The GCF of 3843 and 3850 is associative
GCF of 3843 and 3850 = GCF of 3850 and 3843
1. What is the GCF of 3843 and 3850?
Answer: GCF of 3843 and 3850 is 7.
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 3850?
Answer: Factors of 3850 are 1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925, 3850. There are 24 integers that are factors of 3850. The greatest factor of 3850 is 3850.
4. How to Find the GCF of 3843 and 3850?
Answer:
Greatest Common Factor of 3843 and 3850 = 7
Step 1: Find the prime factorization of 3843
3843 = 3 x 3 x 7 x 61
Step 2: Find the prime factorization of 3850
3850 = 2 x 5 x 5 x 7 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 3843 and 3850 is 7