Greatest Common Factor of 12825 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 12825, 12828 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12825 and 12828 is 3.

GCF(12825,12828) = 3

GCF of 12825 and 12828

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

GCF of:
and

Greatest Common Factor of 12825 and 12828

GCF of 12825 and 12828 is 3

Prime Factorization of 12825


3 12825
3 4275
3 1425
5 475
5 95
19 19
1

Prime factors of 12825 are 3,5,19. Prime factorization of 12825 in exponential form is:

12825 = 33×52×191

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 12825 and 12828 is 3

Greatest Common Factor of 12825 and 12828 by matching factors method

Factors of 12825

List of positive integer factors of 12825 that divides 12825 without a remainder.

1,3,5,9,15,19,25,27,45,57,75,95,135,171,225,285,475,513,675,855,1425,2565,4275,12825

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 12825 and 12828. The biggest common factor number is the GCF number.
So the greatest common factor 12825 and 12828 is 3.

Also check out the Least Common Multiple of 12825 and 12828

Properties of GCF 12825 and 12828

(i) The GCF of 12825 and 12828 is associative

GCF of 12825 and 12828 = GCF of 12828 and 12825

Related Greatest Common Factor of 12825

Related Greatest Common Factor of 12828

Frequently Asked Questions on GCF of 12825 and 12828

1. What is the GCF of 12825 and 12828?

Answer: GCF of 12825 and 12828 is 3.

2. What are the Factors of 12825?

Answer: Factors of 12825 are 1, 3, 5, 9, 15, 19, 25, 27, 45, 57, 75, 95, 135, 171, 225, 285, 475, 513, 675, 855, 1425, 2565, 4275, 12825. There are 24 integers that are factors of 12825. The greatest factor of 12825 is 12825.

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 12825 and 12828?

Answer:

Greatest Common Factor of 12825 and 12828 = 3

Step 1: Find the prime factorization of 12825

12825 = 3 x 3 x 3 x 5 x 5 x 19

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 = 3

Step 4: Therefore, the greatest common factor of 12825 and 12828 is 3