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 7843, 7850 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7843 and 7850 is 1.
GCF(7843,7850) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7843
11 | 7843 |
23 | 713 |
31 | 31 |
1 |
Prime factors of 7843 are 11,23,31. Prime factorization of 7843 in exponential form is:
7843 = 111×231×311
Prime Factorization of 7850
2 | 7850 |
5 | 3925 |
5 | 785 |
157 | 157 |
1 |
Prime factors of 7850 are 2,5,157. Prime factorization of 7850 in exponential form is:
7850 = 21×52×1571
∴ So by taking common prime factors GCF of 7843 and 7850 is 1
Factors of 7843
List of positive integer factors of 7843 that divides 7843 without a remainder.
1,11,23,31,253,341,713,7843
Factors of 7850
List of positive integer factors of 7850 that divides 7850 without a remainder.
1,2,5,10,25,50,157,314,785,1570,3925,7850
Greatest Common Factor
We found the factors and prime factorization of 7843 and 7850. The biggest common factor number is the GCF number.
So the greatest common factor 7843 and 7850 is 1.
Also check out the Least Common Multiple of 7843 and 7850
(i) The GCF of 7843 and 7850 is associative
GCF of 7843 and 7850 = GCF of 7850 and 7843
1. What is the GCF of 7843 and 7850?
Answer: GCF of 7843 and 7850 is 1.
2. What are the Factors of 7843?
Answer: Factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843. There are 8 integers that are factors of 7843. The greatest factor of 7843 is 7843.
3. What are the Factors of 7850?
Answer: Factors of 7850 are 1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850. There are 12 integers that are factors of 7850. The greatest factor of 7850 is 7850.
4. How to Find the GCF of 7843 and 7850?
Answer:
Greatest Common Factor of 7843 and 7850 = 1
Step 1: Find the prime factorization of 7843
7843 = 11 x 23 x 31
Step 2: Find the prime factorization of 7850
7850 = 2 x 5 x 5 x 157
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 7843 and 7850 is 1