Greatest Common Factor of 12828 and 12832

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 12828, 12832 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12828 and 12832 is 4.

GCF(12828,12832) = 4

GCF of 12828 and 12832

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

GCF of:
and

Greatest Common Factor of 12828 and 12832

GCF of 12828 and 12832 is 4

Prime Factorization of 12828


2 12828
2 6414
3 3207
1069 1069
1

Prime factors of 12828 are 2,3,1069. Prime factorization of 12828 in exponential form is:

12828 = 22×31×10691

Prime Factorization of 12832


2 12832
2 6416
2 3208
2 1604
2 802
401 401
1

Prime factors of 12832 are 2,401. Prime factorization of 12832 in exponential form is:

12832 = 25×4011

∴ So by taking common prime factors GCF of 12828 and 12832 is 4

Greatest Common Factor of 12828 and 12832 by matching factors method

Factors of 12828

List of positive integer factors of 12828 that divides 12828 without a remainder.

1,2,3,4,6,12,1069,2138,3207,4276,6414,12828

Factors of 12832

List of positive integer factors of 12832 that divides 12832 without a remainder.

1,2,4,8,16,32,401,802,1604,3208,6416,12832

Greatest Common Factor

We found the factors and prime factorization of 12828 and 12832. The biggest common factor number is the GCF number.
So the greatest common factor 12828 and 12832 is 4.

Also check out the Least Common Multiple of 12828 and 12832

Properties of GCF 12828 and 12832

(i) The GCF of 12828 and 12832 is associative

GCF of 12828 and 12832 = GCF of 12832 and 12828

Related Greatest Common Factor of 12828

Related Greatest Common Factor of 12832

Frequently Asked Questions on GCF of 12828 and 12832

1. What is the GCF of 12828 and 12832?

Answer: GCF of 12828 and 12832 is 4.

2. What are the Factors of 12828?

Answer: Factors of 12828 are 1, 2, 3, 4, 6, 12, 1069, 2138, 3207, 4276, 6414, 12828. There are 12 integers that are factors of 12828. The greatest factor of 12828 is 12828.

3. What are the Factors of 12832?

Answer: Factors of 12832 are 1, 2, 4, 8, 16, 32, 401, 802, 1604, 3208, 6416, 12832. There are 12 integers that are factors of 12832. The greatest factor of 12832 is 12832.

4. How to Find the GCF of 12828 and 12832?

Answer:

Greatest Common Factor of 12828 and 12832 = 4

Step 1: Find the prime factorization of 12828

12828 = 2 x 2 x 3 x 1069

Step 2: Find the prime factorization of 12832

12832 = 2 x 2 x 2 x 2 x 2 x 401

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 12828 and 12832 is 4