Greatest Common Factor of 12820 and 12825

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 12820, 12825 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12820 and 12825 is 5.

GCF(12820,12825) = 5

GCF of 12820 and 12825

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

GCF of:
and

Greatest Common Factor of 12820 and 12825

GCF of 12820 and 12825 is 5

Prime Factorization of 12820


2 12820
2 6410
5 3205
641 641
1

Prime factors of 12820 are 2,5,641. Prime factorization of 12820 in exponential form is:

12820 = 22×51×6411

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

∴ So by taking common prime factors GCF of 12820 and 12825 is 5

Greatest Common Factor of 12820 and 12825 by matching factors method

Factors of 12820

List of positive integer factors of 12820 that divides 12820 without a remainder.

1,2,4,5,10,20,641,1282,2564,3205,6410,12820

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

Greatest Common Factor

We found the factors and prime factorization of 12820 and 12825. The biggest common factor number is the GCF number.
So the greatest common factor 12820 and 12825 is 5.

Also check out the Least Common Multiple of 12820 and 12825

Properties of GCF 12820 and 12825

(i) The GCF of 12820 and 12825 is associative

GCF of 12820 and 12825 = GCF of 12825 and 12820

Related Greatest Common Factor of 12820

Related Greatest Common Factor of 12825

Frequently Asked Questions on GCF of 12820 and 12825

1. What is the GCF of 12820 and 12825?

Answer: GCF of 12820 and 12825 is 5.

2. What are the Factors of 12820?

Answer: Factors of 12820 are 1, 2, 4, 5, 10, 20, 641, 1282, 2564, 3205, 6410, 12820. There are 12 integers that are factors of 12820. The greatest factor of 12820 is 12820.

3. 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.

4. How to Find the GCF of 12820 and 12825?

Answer:

Greatest Common Factor of 12820 and 12825 = 5

Step 1: Find the prime factorization of 12820

12820 = 2 x 2 x 5 x 641

Step 2: Find the prime factorization of 12825

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

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

GCF = 5

Step 4: Therefore, the greatest common factor of 12820 and 12825 is 5