Greatest Common Factor of 12824 and 12828

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 12824, 12828 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12824 and 12828 is 4.

GCF(12824,12828) = 4

GCF of 12824 and 12828

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

GCF of:
and

Greatest Common Factor of 12824 and 12828

GCF of 12824 and 12828 is 4

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

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

∴ So by taking common prime factors GCF of 12824 and 12828 is 4

Greatest Common Factor of 12824 and 12828 by matching factors method

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

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

Greatest Common Factor

We found the factors and prime factorization of 12824 and 12828. The biggest common factor number is the GCF number.
So the greatest common factor 12824 and 12828 is 4.

Also check out the Least Common Multiple of 12824 and 12828

Properties of GCF 12824 and 12828

(i) The GCF of 12824 and 12828 is associative

GCF of 12824 and 12828 = GCF of 12828 and 12824

Related Greatest Common Factor of 12824

Related Greatest Common Factor of 12828

Frequently Asked Questions on GCF of 12824 and 12828

1. What is the GCF of 12824 and 12828?

Answer: GCF of 12824 and 12828 is 4.

2. 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.

3. 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.

4. How to Find the GCF of 12824 and 12828?

Answer:

Greatest Common Factor of 12824 and 12828 = 4

Step 1: Find the prime factorization of 12824

12824 = 2 x 2 x 2 x 7 x 229

Step 2: Find the prime factorization of 12828

12828 = 2 x 2 x 3 x 1069

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 12824 and 12828 is 4