Greatest Common Factor of 12825 and 12829

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, 12829 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12825 and 12829 is 1.

GCF(12825,12829) = 1

GCF of 12825 and 12829

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

GCF of:
and

Greatest Common Factor of 12825 and 12829

GCF of 12825 and 12829 is 1

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 12829


12829 12829
1

Prime factors of 12829 are 12829. Prime factorization of 12829 in exponential form is:

12829 = 128291

∴ So by taking common prime factors GCF of 12825 and 12829 is 1

Greatest Common Factor of 12825 and 12829 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 12829

List of positive integer factors of 12829 that divides 12829 without a remainder.

1,12829

Greatest Common Factor

We found the factors and prime factorization of 12825 and 12829. The biggest common factor number is the GCF number.
So the greatest common factor 12825 and 12829 is 1.

Also check out the Least Common Multiple of 12825 and 12829

Properties of GCF 12825 and 12829

(i) The GCF of 12825 and 12829 is associative

GCF of 12825 and 12829 = GCF of 12829 and 12825

Related Greatest Common Factor of 12825

Related Greatest Common Factor of 12829

Frequently Asked Questions on GCF of 12825 and 12829

1. What is the GCF of 12825 and 12829?

Answer: GCF of 12825 and 12829 is 1.

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 12829?

Answer: Factors of 12829 are 1, 12829. There are 2 integers that are factors of 12829. The greatest factor of 12829 is 12829.

4. How to Find the GCF of 12825 and 12829?

Answer:

Greatest Common Factor of 12825 and 12829 = 1

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 12829

12829 = 12829

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 12825 and 12829 is 1