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 7842, 7846 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7842 and 7846 is 2.
GCF(7842,7846) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7846
2 | 7846 |
3923 | 3923 |
1 |
Prime factors of 7846 are 2,3923. Prime factorization of 7846 in exponential form is:
7846 = 21×39231
∴ So by taking common prime factors GCF of 7842 and 7846 is 2
Factors of 7842
List of positive integer factors of 7842 that divides 7842 without a remainder.
1,2,3,6,1307,2614,3921,7842
Factors of 7846
List of positive integer factors of 7846 that divides 7846 without a remainder.
1,2,3923,7846
Greatest Common Factor
We found the factors and prime factorization of 7842 and 7846. The biggest common factor number is the GCF number.
So the greatest common factor 7842 and 7846 is 2.
Also check out the Least Common Multiple of 7842 and 7846
(i) The GCF of 7842 and 7846 is associative
GCF of 7842 and 7846 = GCF of 7846 and 7842
1. What is the GCF of 7842 and 7846?
Answer: GCF of 7842 and 7846 is 2.
2. 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.
3. What are the Factors of 7846?
Answer: Factors of 7846 are 1, 2, 3923, 7846. There are 4 integers that are factors of 7846. The greatest factor of 7846 is 7846.
4. How to Find the GCF of 7842 and 7846?
Answer:
Greatest Common Factor of 7842 and 7846 = 2
Step 1: Find the prime factorization of 7842
7842 = 2 x 3 x 1307
Step 2: Find the prime factorization of 7846
7846 = 2 x 3923
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 7842 and 7846 is 2