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 7839, 7842 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7839 and 7842 is 3.
GCF(7839,7842) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7839
3 | 7839 |
3 | 2613 |
13 | 871 |
67 | 67 |
1 |
Prime factors of 7839 are 3,13,67. Prime factorization of 7839 in exponential form is:
7839 = 32×131×671
Prime Factorization of 7842
2 | 7842 |
3 | 3921 |
1307 | 1307 |
1 |
Prime factors of 7842 are 2,3,1307. Prime factorization of 7842 in exponential form is:
7842 = 21×31×13071
∴ So by taking common prime factors GCF of 7839 and 7842 is 3
Factors of 7839
List of positive integer factors of 7839 that divides 7839 without a remainder.
1,3,9,13,39,67,117,201,603,871,2613,7839
Factors of 7842
List of positive integer factors of 7842 that divides 7842 without a remainder.
1,2,3,6,1307,2614,3921,7842
Greatest Common Factor
We found the factors and prime factorization of 7839 and 7842. The biggest common factor number is the GCF number.
So the greatest common factor 7839 and 7842 is 3.
Also check out the Least Common Multiple of 7839 and 7842
(i) The GCF of 7839 and 7842 is associative
GCF of 7839 and 7842 = GCF of 7842 and 7839
1. What is the GCF of 7839 and 7842?
Answer: GCF of 7839 and 7842 is 3.
2. What are the Factors of 7839?
Answer: Factors of 7839 are 1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613, 7839. There are 12 integers that are factors of 7839. The greatest factor of 7839 is 7839.
3. What are the Factors of 7842?
Answer: Factors of 7842 are 1, 2, 3, 6, 1307, 2614, 3921, 7842. There are 8 integers that are factors of 7842. The greatest factor of 7842 is 7842.
4. How to Find the GCF of 7839 and 7842?
Answer:
Greatest Common Factor of 7839 and 7842 = 3
Step 1: Find the prime factorization of 7839
7839 = 3 x 3 x 13 x 67
Step 2: Find the prime factorization of 7842
7842 = 2 x 3 x 1307
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 7839 and 7842 is 3