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 8292, 8296 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8292 and 8296 is 4.
GCF(8292,8296) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8292
2 | 8292 |
2 | 4146 |
3 | 2073 |
691 | 691 |
1 |
Prime factors of 8292 are 2,3,691. Prime factorization of 8292 in exponential form is:
8292 = 22×31×6911
Prime Factorization of 8296
2 | 8296 |
2 | 4148 |
2 | 2074 |
17 | 1037 |
61 | 61 |
1 |
Prime factors of 8296 are 2,17,61. Prime factorization of 8296 in exponential form is:
8296 = 23×171×611
∴ So by taking common prime factors GCF of 8292 and 8296 is 4
Factors of 8292
List of positive integer factors of 8292 that divides 8292 without a remainder.
1,2,3,4,6,12,691,1382,2073,2764,4146,8292
Factors of 8296
List of positive integer factors of 8296 that divides 8296 without a remainder.
1,2,4,8,17,34,61,68,122,136,244,488,1037,2074,4148,8296
Greatest Common Factor
We found the factors and prime factorization of 8292 and 8296. The biggest common factor number is the GCF number.
So the greatest common factor 8292 and 8296 is 4.
Also check out the Least Common Multiple of 8292 and 8296
(i) The GCF of 8292 and 8296 is associative
GCF of 8292 and 8296 = GCF of 8296 and 8292
1. What is the GCF of 8292 and 8296?
Answer: GCF of 8292 and 8296 is 4.
2. What are the Factors of 8292?
Answer: Factors of 8292 are 1, 2, 3, 4, 6, 12, 691, 1382, 2073, 2764, 4146, 8292. There are 12 integers that are factors of 8292. The greatest factor of 8292 is 8292.
3. What are the Factors of 8296?
Answer: Factors of 8296 are 1, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148, 8296. There are 16 integers that are factors of 8296. The greatest factor of 8296 is 8296.
4. How to Find the GCF of 8292 and 8296?
Answer:
Greatest Common Factor of 8292 and 8296 = 4
Step 1: Find the prime factorization of 8292
8292 = 2 x 2 x 3 x 691
Step 2: Find the prime factorization of 8296
8296 = 2 x 2 x 2 x 17 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 8292 and 8296 is 4