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, 8294 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8292 and 8294 is 2.
GCF(8292,8294) = 2
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 8294
2 | 8294 |
11 | 4147 |
13 | 377 |
29 | 29 |
1 |
Prime factors of 8294 are 2,11,13,29. Prime factorization of 8294 in exponential form is:
8294 = 21×111×131×291
∴ So by taking common prime factors GCF of 8292 and 8294 is 2
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 8294
List of positive integer factors of 8294 that divides 8294 without a remainder.
1,2,11,13,22,26,29,58,143,286,319,377,638,754,4147,8294
Greatest Common Factor
We found the factors and prime factorization of 8292 and 8294. The biggest common factor number is the GCF number.
So the greatest common factor 8292 and 8294 is 2.
Also check out the Least Common Multiple of 8292 and 8294
(i) The GCF of 8292 and 8294 is associative
GCF of 8292 and 8294 = GCF of 8294 and 8292
1. What is the GCF of 8292 and 8294?
Answer: GCF of 8292 and 8294 is 2.
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 8294?
Answer: Factors of 8294 are 1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294. There are 16 integers that are factors of 8294. The greatest factor of 8294 is 8294.
4. How to Find the GCF of 8292 and 8294?
Answer:
Greatest Common Factor of 8292 and 8294 = 2
Step 1: Find the prime factorization of 8292
8292 = 2 x 2 x 3 x 691
Step 2: Find the prime factorization of 8294
8294 = 2 x 11 x 13 x 29
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 8292 and 8294 is 2