Greatest Common Factor of 12818 and 12824

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 12818, 12824 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12818 and 12824 is 2.

GCF(12818,12824) = 2

GCF of 12818 and 12824

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

GCF of:
and

Greatest Common Factor of 12818 and 12824

GCF of 12818 and 12824 is 2

Prime Factorization of 12818


2 12818
13 6409
17 493
29 29
1

Prime factors of 12818 are 2,13,17,29. Prime factorization of 12818 in exponential form is:

12818 = 21×131×171×291

Prime Factorization of 12824


2 12824
2 6412
2 3206
7 1603
229 229
1

Prime factors of 12824 are 2,7,229. Prime factorization of 12824 in exponential form is:

12824 = 23×71×2291

∴ So by taking common prime factors GCF of 12818 and 12824 is 2

Greatest Common Factor of 12818 and 12824 by matching factors method

Factors of 12818

List of positive integer factors of 12818 that divides 12818 without a remainder.

1,2,13,17,26,29,34,58,221,377,442,493,754,986,6409,12818

Factors of 12824

List of positive integer factors of 12824 that divides 12824 without a remainder.

1,2,4,7,8,14,28,56,229,458,916,1603,1832,3206,6412,12824

Greatest Common Factor

We found the factors and prime factorization of 12818 and 12824. The biggest common factor number is the GCF number.
So the greatest common factor 12818 and 12824 is 2.

Also check out the Least Common Multiple of 12818 and 12824

Properties of GCF 12818 and 12824

(i) The GCF of 12818 and 12824 is associative

GCF of 12818 and 12824 = GCF of 12824 and 12818

Related Greatest Common Factor of 12818

Related Greatest Common Factor of 12824

Frequently Asked Questions on GCF of 12818 and 12824

1. What is the GCF of 12818 and 12824?

Answer: GCF of 12818 and 12824 is 2.

2. What are the Factors of 12818?

Answer: Factors of 12818 are 1, 2, 13, 17, 26, 29, 34, 58, 221, 377, 442, 493, 754, 986, 6409, 12818. There are 16 integers that are factors of 12818. The greatest factor of 12818 is 12818.

3. What are the Factors of 12824?

Answer: Factors of 12824 are 1, 2, 4, 7, 8, 14, 28, 56, 229, 458, 916, 1603, 1832, 3206, 6412, 12824. There are 16 integers that are factors of 12824. The greatest factor of 12824 is 12824.

4. How to Find the GCF of 12818 and 12824?

Answer:

Greatest Common Factor of 12818 and 12824 = 2

Step 1: Find the prime factorization of 12818

12818 = 2 x 13 x 17 x 29

Step 2: Find the prime factorization of 12824

12824 = 2 x 2 x 2 x 7 x 229

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 12818 and 12824 is 2