Greatest Common Factor of 12834 and 12840

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 12834, 12840 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12834 and 12840 is 6.

GCF(12834,12840) = 6

GCF of 12834 and 12840

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

GCF of:
and

Greatest Common Factor of 12834 and 12840

GCF of 12834 and 12840 is 6

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

Prime Factorization of 12840


2 12840
2 6420
2 3210
3 1605
5 535
107 107
1

Prime factors of 12840 are 2,3,5,107. Prime factorization of 12840 in exponential form is:

12840 = 23×31×51×1071

∴ So by taking common prime factors GCF of 12834 and 12840 is 6

Greatest Common Factor of 12834 and 12840 by matching factors method

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

Factors of 12840

List of positive integer factors of 12840 that divides 12840 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,107,120,214,321,428,535,642,856,1070,1284,1605,2140,2568,3210,4280,6420,12840

Greatest Common Factor

We found the factors and prime factorization of 12834 and 12840. The biggest common factor number is the GCF number.
So the greatest common factor 12834 and 12840 is 6.

Also check out the Least Common Multiple of 12834 and 12840

Properties of GCF 12834 and 12840

(i) The GCF of 12834 and 12840 is associative

GCF of 12834 and 12840 = GCF of 12840 and 12834

Related Greatest Common Factor of 12834

Related Greatest Common Factor of 12840

Frequently Asked Questions on GCF of 12834 and 12840

1. What is the GCF of 12834 and 12840?

Answer: GCF of 12834 and 12840 is 6.

2. 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.

3. What are the Factors of 12840?

Answer: Factors of 12840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 107, 120, 214, 321, 428, 535, 642, 856, 1070, 1284, 1605, 2140, 2568, 3210, 4280, 6420, 12840. There are 32 integers that are factors of 12840. The greatest factor of 12840 is 12840.

4. How to Find the GCF of 12834 and 12840?

Answer:

Greatest Common Factor of 12834 and 12840 = 6

Step 1: Find the prime factorization of 12834

12834 = 2 x 3 x 3 x 23 x 31

Step 2: Find the prime factorization of 12840

12840 = 2 x 2 x 2 x 3 x 5 x 107

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 12834 and 12840 is 6