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, 7848 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7843 and 7848 is 1.
GCF(7843,7848) = 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 7848
2 | 7848 |
2 | 3924 |
2 | 1962 |
3 | 981 |
3 | 327 |
109 | 109 |
1 |
Prime factors of 7848 are 2,3,109. Prime factorization of 7848 in exponential form is:
7848 = 23×32×1091
∴ So by taking common prime factors GCF of 7843 and 7848 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 7848
List of positive integer factors of 7848 that divides 7848 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848
Greatest Common Factor
We found the factors and prime factorization of 7843 and 7848. The biggest common factor number is the GCF number.
So the greatest common factor 7843 and 7848 is 1.
Also check out the Least Common Multiple of 7843 and 7848
(i) The GCF of 7843 and 7848 is associative
GCF of 7843 and 7848 = GCF of 7848 and 7843
1. What is the GCF of 7843 and 7848?
Answer: GCF of 7843 and 7848 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 7848?
Answer: Factors of 7848 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848. There are 24 integers that are factors of 7848. The greatest factor of 7848 is 7848.
4. How to Find the GCF of 7843 and 7848?
Answer:
Greatest Common Factor of 7843 and 7848 = 1
Step 1: Find the prime factorization of 7843
7843 = 11 x 23 x 31
Step 2: Find the prime factorization of 7848
7848 = 2 x 2 x 2 x 3 x 3 x 109
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 7848 is 1