Greatest Common Factor of 12828 and 12834

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 12828, 12834 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12828 and 12834 is 6.

GCF(12828,12834) = 6

GCF of 12828 and 12834

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 12828 and 12834

GCF of 12828 and 12834 is 6

Prime Factorization of 12828


2 12828
2 6414
3 3207
1069 1069
1

Prime factors of 12828 are 2,3,1069. Prime factorization of 12828 in exponential form is:

12828 = 22×31×10691

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 12828 and 12834 is 6

Greatest Common Factor of 12828 and 12834 by matching factors method

Factors of 12828

List of positive integer factors of 12828 that divides 12828 without a remainder.

1,2,3,4,6,12,1069,2138,3207,4276,6414,12828

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 12828 and 12834. The biggest common factor number is the GCF number.
So the greatest common factor 12828 and 12834 is 6.

Also check out the Least Common Multiple of 12828 and 12834

Properties of GCF 12828 and 12834

(i) The GCF of 12828 and 12834 is associative

GCF of 12828 and 12834 = GCF of 12834 and 12828

Related Greatest Common Factor of 12828

Related Greatest Common Factor of 12834

Frequently Asked Questions on GCF of 12828 and 12834

1. What is the GCF of 12828 and 12834?

Answer: GCF of 12828 and 12834 is 6.

2. What are the Factors of 12828?

Answer: Factors of 12828 are 1, 2, 3, 4, 6, 12, 1069, 2138, 3207, 4276, 6414, 12828. There are 12 integers that are factors of 12828. The greatest factor of 12828 is 12828.

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 12828 and 12834?

Answer:

Greatest Common Factor of 12828 and 12834 = 6

Step 1: Find the prime factorization of 12828

12828 = 2 x 2 x 3 x 1069

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 12828 and 12834 is 6