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 7857, 7861 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7857 and 7861 is 1.
GCF(7857,7861) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7857
3 | 7857 |
3 | 2619 |
3 | 873 |
3 | 291 |
97 | 97 |
1 |
Prime factors of 7857 are 3,97. Prime factorization of 7857 in exponential form is:
7857 = 34×971
Prime Factorization of 7861
7 | 7861 |
1123 | 1123 |
1 |
Prime factors of 7861 are 7,1123. Prime factorization of 7861 in exponential form is:
7861 = 71×11231
∴ So by taking common prime factors GCF of 7857 and 7861 is 1
Factors of 7857
List of positive integer factors of 7857 that divides 7857 without a remainder.
1,3,9,27,81,97,291,873,2619,7857
Factors of 7861
List of positive integer factors of 7861 that divides 7861 without a remainder.
1,7,1123,7861
Greatest Common Factor
We found the factors and prime factorization of 7857 and 7861. The biggest common factor number is the GCF number.
So the greatest common factor 7857 and 7861 is 1.
Also check out the Least Common Multiple of 7857 and 7861
(i) The GCF of 7857 and 7861 is associative
GCF of 7857 and 7861 = GCF of 7861 and 7857
1. What is the GCF of 7857 and 7861?
Answer: GCF of 7857 and 7861 is 1.
2. What are the Factors of 7857?
Answer: Factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857. There are 10 integers that are factors of 7857. The greatest factor of 7857 is 7857.
3. What are the Factors of 7861?
Answer: Factors of 7861 are 1, 7, 1123, 7861. There are 4 integers that are factors of 7861. The greatest factor of 7861 is 7861.
4. How to Find the GCF of 7857 and 7861?
Answer:
Greatest Common Factor of 7857 and 7861 = 1
Step 1: Find the prime factorization of 7857
7857 = 3 x 3 x 3 x 3 x 97
Step 2: Find the prime factorization of 7861
7861 = 7 x 1123
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 7857 and 7861 is 1