Greatest Common Factor of 12820 and 12824

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, 12824 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12820 and 12824 is 4.

GCF(12820,12824) = 4

GCF of 12820 and 12824

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

GCF of:
and

Greatest Common Factor of 12820 and 12824

GCF of 12820 and 12824 is 4

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 12824


2 12824
2 6412
2 3206
7 1603
229 229
1

Prime factors of 12824 are 2,7,229. Prime factorization of 12824 in exponential form is:

12824 = 23×71×2291

∴ So by taking common prime factors GCF of 12820 and 12824 is 4

Greatest Common Factor of 12820 and 12824 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 12824

List of positive integer factors of 12824 that divides 12824 without a remainder.

1,2,4,7,8,14,28,56,229,458,916,1603,1832,3206,6412,12824

Greatest Common Factor

We found the factors and prime factorization of 12820 and 12824. The biggest common factor number is the GCF number.
So the greatest common factor 12820 and 12824 is 4.

Also check out the Least Common Multiple of 12820 and 12824

Properties of GCF 12820 and 12824

(i) The GCF of 12820 and 12824 is associative

GCF of 12820 and 12824 = GCF of 12824 and 12820

Related Greatest Common Factor of 12820

Related Greatest Common Factor of 12824

Frequently Asked Questions on GCF of 12820 and 12824

1. What is the GCF of 12820 and 12824?

Answer: GCF of 12820 and 12824 is 4.

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 12824?

Answer: Factors of 12824 are 1, 2, 4, 7, 8, 14, 28, 56, 229, 458, 916, 1603, 1832, 3206, 6412, 12824. There are 16 integers that are factors of 12824. The greatest factor of 12824 is 12824.

4. How to Find the GCF of 12820 and 12824?

Answer:

Greatest Common Factor of 12820 and 12824 = 4

Step 1: Find the prime factorization of 12820

12820 = 2 x 2 x 5 x 641

Step 2: Find the prime factorization of 12824

12824 = 2 x 2 x 2 x 7 x 229

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 12820 and 12824 is 4