Greatest Common Factor of 12820 and 12826

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, 12826 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12820 and 12826 is 2.

GCF(12820,12826) = 2

GCF of 12820 and 12826

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

GCF of:
and

Greatest Common Factor of 12820 and 12826

GCF of 12820 and 12826 is 2

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 12826


2 12826
11 6413
11 583
53 53
1

Prime factors of 12826 are 2,11,53. Prime factorization of 12826 in exponential form is:

12826 = 21×112×531

∴ So by taking common prime factors GCF of 12820 and 12826 is 2

Greatest Common Factor of 12820 and 12826 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 12826

List of positive integer factors of 12826 that divides 12826 without a remainder.

1,2,11,22,53,106,121,242,583,1166,6413,12826

Greatest Common Factor

We found the factors and prime factorization of 12820 and 12826. The biggest common factor number is the GCF number.
So the greatest common factor 12820 and 12826 is 2.

Also check out the Least Common Multiple of 12820 and 12826

Properties of GCF 12820 and 12826

(i) The GCF of 12820 and 12826 is associative

GCF of 12820 and 12826 = GCF of 12826 and 12820

Related Greatest Common Factor of 12820

Related Greatest Common Factor of 12826

Frequently Asked Questions on GCF of 12820 and 12826

1. What is the GCF of 12820 and 12826?

Answer: GCF of 12820 and 12826 is 2.

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 12826?

Answer: Factors of 12826 are 1, 2, 11, 22, 53, 106, 121, 242, 583, 1166, 6413, 12826. There are 12 integers that are factors of 12826. The greatest factor of 12826 is 12826.

4. How to Find the GCF of 12820 and 12826?

Answer:

Greatest Common Factor of 12820 and 12826 = 2

Step 1: Find the prime factorization of 12820

12820 = 2 x 2 x 5 x 641

Step 2: Find the prime factorization of 12826

12826 = 2 x 11 x 11 x 53

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

GCF = 2

Step 4: Therefore, the greatest common factor of 12820 and 12826 is 2