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 7832, 7834 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7832 and 7834 is 2.
GCF(7832,7834) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7832
2 | 7832 |
2 | 3916 |
2 | 1958 |
11 | 979 |
89 | 89 |
1 |
Prime factors of 7832 are 2,11,89. Prime factorization of 7832 in exponential form is:
7832 = 23×111×891
Prime Factorization of 7834
2 | 7834 |
3917 | 3917 |
1 |
Prime factors of 7834 are 2,3917. Prime factorization of 7834 in exponential form is:
7834 = 21×39171
∴ So by taking common prime factors GCF of 7832 and 7834 is 2
Factors of 7832
List of positive integer factors of 7832 that divides 7832 without a remainder.
1,2,4,8,11,22,44,88,89,178,356,712,979,1958,3916,7832
Factors of 7834
List of positive integer factors of 7834 that divides 7834 without a remainder.
1,2,3917,7834
Greatest Common Factor
We found the factors and prime factorization of 7832 and 7834. The biggest common factor number is the GCF number.
So the greatest common factor 7832 and 7834 is 2.
Also check out the Least Common Multiple of 7832 and 7834
(i) The GCF of 7832 and 7834 is associative
GCF of 7832 and 7834 = GCF of 7834 and 7832
1. What is the GCF of 7832 and 7834?
Answer: GCF of 7832 and 7834 is 2.
2. What are the Factors of 7832?
Answer: Factors of 7832 are 1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832. There are 16 integers that are factors of 7832. The greatest factor of 7832 is 7832.
3. What are the Factors of 7834?
Answer: Factors of 7834 are 1, 2, 3917, 7834. There are 4 integers that are factors of 7834. The greatest factor of 7834 is 7834.
4. How to Find the GCF of 7832 and 7834?
Answer:
Greatest Common Factor of 7832 and 7834 = 2
Step 1: Find the prime factorization of 7832
7832 = 2 x 2 x 2 x 11 x 89
Step 2: Find the prime factorization of 7834
7834 = 2 x 3917
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 7832 and 7834 is 2