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 7826, 7833 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7826 and 7833 is 7.
GCF(7826,7833) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7826
2 | 7826 |
7 | 3913 |
13 | 559 |
43 | 43 |
1 |
Prime factors of 7826 are 2,7,13,43. Prime factorization of 7826 in exponential form is:
7826 = 21×71×131×431
Prime Factorization of 7833
3 | 7833 |
7 | 2611 |
373 | 373 |
1 |
Prime factors of 7833 are 3,7,373. Prime factorization of 7833 in exponential form is:
7833 = 31×71×3731
∴ So by taking common prime factors GCF of 7826 and 7833 is 7
Factors of 7826
List of positive integer factors of 7826 that divides 7826 without a remainder.
1,2,7,13,14,26,43,86,91,182,301,559,602,1118,3913,7826
Factors of 7833
List of positive integer factors of 7833 that divides 7833 without a remainder.
1,3,7,21,373,1119,2611,7833
Greatest Common Factor
We found the factors and prime factorization of 7826 and 7833. The biggest common factor number is the GCF number.
So the greatest common factor 7826 and 7833 is 7.
Also check out the Least Common Multiple of 7826 and 7833
(i) The GCF of 7826 and 7833 is associative
GCF of 7826 and 7833 = GCF of 7833 and 7826
1. What is the GCF of 7826 and 7833?
Answer: GCF of 7826 and 7833 is 7.
2. What are the Factors of 7826?
Answer: Factors of 7826 are 1, 2, 7, 13, 14, 26, 43, 86, 91, 182, 301, 559, 602, 1118, 3913, 7826. There are 16 integers that are factors of 7826. The greatest factor of 7826 is 7826.
3. What are the Factors of 7833?
Answer: Factors of 7833 are 1, 3, 7, 21, 373, 1119, 2611, 7833. There are 8 integers that are factors of 7833. The greatest factor of 7833 is 7833.
4. How to Find the GCF of 7826 and 7833?
Answer:
Greatest Common Factor of 7826 and 7833 = 7
Step 1: Find the prime factorization of 7826
7826 = 2 x 7 x 13 x 43
Step 2: Find the prime factorization of 7833
7833 = 3 x 7 x 373
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 7826 and 7833 is 7