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 7835, 7843 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7835 and 7843 is 1.
GCF(7835,7843) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7835
5 | 7835 |
1567 | 1567 |
1 |
Prime factors of 7835 are 5,1567. Prime factorization of 7835 in exponential form is:
7835 = 51×15671
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
∴ So by taking common prime factors GCF of 7835 and 7843 is 1
Factors of 7835
List of positive integer factors of 7835 that divides 7835 without a remainder.
1,5,1567,7835
Factors of 7843
List of positive integer factors of 7843 that divides 7843 without a remainder.
1,11,23,31,253,341,713,7843
Greatest Common Factor
We found the factors and prime factorization of 7835 and 7843. The biggest common factor number is the GCF number.
So the greatest common factor 7835 and 7843 is 1.
Also check out the Least Common Multiple of 7835 and 7843
(i) The GCF of 7835 and 7843 is associative
GCF of 7835 and 7843 = GCF of 7843 and 7835
1. What is the GCF of 7835 and 7843?
Answer: GCF of 7835 and 7843 is 1.
2. What are the Factors of 7835?
Answer: Factors of 7835 are 1, 5, 1567, 7835. There are 4 integers that are factors of 7835. The greatest factor of 7835 is 7835.
3. 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.
4. How to Find the GCF of 7835 and 7843?
Answer:
Greatest Common Factor of 7835 and 7843 = 1
Step 1: Find the prime factorization of 7835
7835 = 5 x 1567
Step 2: Find the prime factorization of 7843
7843 = 11 x 23 x 31
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 7835 and 7843 is 1