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 12826, 12834 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 12826 and 12834 is 2.
GCF(12826,12834) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 12826
2 | 12826 |
11 | 6413 |
11 | 583 |
53 | 53 |
1 |
Prime factors of 12826 are 2,11,53. Prime factorization of 12826 in exponential form is:
12826 = 21×112×531
Prime Factorization of 12834
2 | 12834 |
3 | 6417 |
3 | 2139 |
23 | 713 |
31 | 31 |
1 |
Prime factors of 12834 are 2,3,23,31. Prime factorization of 12834 in exponential form is:
12834 = 21×32×231×311
∴ So by taking common prime factors GCF of 12826 and 12834 is 2
Factors of 12826
List of positive integer factors of 12826 that divides 12826 without a remainder.
1,2,11,22,53,106,121,242,583,1166,6413,12826
Factors of 12834
List of positive integer factors of 12834 that divides 12834 without a remainder.
1,2,3,6,9,18,23,31,46,62,69,93,138,186,207,279,414,558,713,1426,2139,4278,6417,12834
Greatest Common Factor
We found the factors and prime factorization of 12826 and 12834. The biggest common factor number is the GCF number.
So the greatest common factor 12826 and 12834 is 2.
Also check out the Least Common Multiple of 12826 and 12834
(i) The GCF of 12826 and 12834 is associative
GCF of 12826 and 12834 = GCF of 12834 and 12826
1. What is the GCF of 12826 and 12834?
Answer: GCF of 12826 and 12834 is 2.
2. What are the Factors of 12826?
Answer: Factors of 12826 are 1, 2, 11, 22, 53, 106, 121, 242, 583, 1166, 6413, 12826. There are 12 integers that are factors of 12826. The greatest factor of 12826 is 12826.
3. What are the Factors of 12834?
Answer: Factors of 12834 are 1, 2, 3, 6, 9, 18, 23, 31, 46, 62, 69, 93, 138, 186, 207, 279, 414, 558, 713, 1426, 2139, 4278, 6417, 12834. There are 24 integers that are factors of 12834. The greatest factor of 12834 is 12834.
4. How to Find the GCF of 12826 and 12834?
Answer:
Greatest Common Factor of 12826 and 12834 = 2
Step 1: Find the prime factorization of 12826
12826 = 2 x 11 x 11 x 53
Step 2: Find the prime factorization of 12834
12834 = 2 x 3 x 3 x 23 x 31
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 12826 and 12834 is 2