Greatest Common Factor of 12825 and 12833

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, 12833 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12825 and 12833 is 1.

GCF(12825,12833) = 1

GCF of 12825 and 12833

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

GCF of:
and

Greatest Common Factor of 12825 and 12833

GCF of 12825 and 12833 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 12833


41 12833
313 313
1

Prime factors of 12833 are 41,313. Prime factorization of 12833 in exponential form is:

12833 = 411×3131

∴ So by taking common prime factors GCF of 12825 and 12833 is 1

Greatest Common Factor of 12825 and 12833 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 12833

List of positive integer factors of 12833 that divides 12833 without a remainder.

1,41,313,12833

Greatest Common Factor

We found the factors and prime factorization of 12825 and 12833. The biggest common factor number is the GCF number.
So the greatest common factor 12825 and 12833 is 1.

Also check out the Least Common Multiple of 12825 and 12833

Properties of GCF 12825 and 12833

(i) The GCF of 12825 and 12833 is associative

GCF of 12825 and 12833 = GCF of 12833 and 12825

Related Greatest Common Factor of 12825

Related Greatest Common Factor of 12833

Frequently Asked Questions on GCF of 12825 and 12833

1. What is the GCF of 12825 and 12833?

Answer: GCF of 12825 and 12833 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 12833?

Answer: Factors of 12833 are 1, 41, 313, 12833. There are 4 integers that are factors of 12833. The greatest factor of 12833 is 12833.

4. How to Find the GCF of 12825 and 12833?

Answer:

Greatest Common Factor of 12825 and 12833 = 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 12833

12833 = 41 x 313

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 12833 is 1