Greatest Common Factor of 2816 and 2824

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 2816, 2824 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2816 and 2824 is 8.

GCF(2816,2824) = 8

GCF of 2816 and 2824

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

GCF of:
and

Greatest Common Factor of 2816 and 2824

GCF of 2816 and 2824 is 8

Prime Factorization of 2816


2 2816
2 1408
2 704
2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 2816 are 2,11. Prime factorization of 2816 in exponential form is:

2816 = 28×111

Prime Factorization of 2824


2 2824
2 1412
2 706
353 353
1

Prime factors of 2824 are 2,353. Prime factorization of 2824 in exponential form is:

2824 = 23×3531

∴ So by taking common prime factors GCF of 2816 and 2824 is 8

Greatest Common Factor of 2816 and 2824 by matching factors method

Factors of 2816

List of positive integer factors of 2816 that divides 2816 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,704,1408,2816

Factors of 2824

List of positive integer factors of 2824 that divides 2824 without a remainder.

1,2,4,8,353,706,1412,2824

Greatest Common Factor

We found the factors and prime factorization of 2816 and 2824. The biggest common factor number is the GCF number.
So the greatest common factor 2816 and 2824 is 8.

Also check out the Least Common Multiple of 2816 and 2824

Properties of GCF 2816 and 2824

(i) The GCF of 2816 and 2824 is associative

GCF of 2816 and 2824 = GCF of 2824 and 2816

Related Greatest Common Factor of 2816

Related Greatest Common Factor of 2824

Frequently Asked Questions on GCF of 2816 and 2824

1. What is the GCF of 2816 and 2824?

Answer: GCF of 2816 and 2824 is 8.

2. What are the Factors of 2816?

Answer: Factors of 2816 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408, 2816. There are 18 integers that are factors of 2816. The greatest factor of 2816 is 2816.

3. What are the Factors of 2824?

Answer: Factors of 2824 are 1, 2, 4, 8, 353, 706, 1412, 2824. There are 8 integers that are factors of 2824. The greatest factor of 2824 is 2824.

4. How to Find the GCF of 2816 and 2824?

Answer:

Greatest Common Factor of 2816 and 2824 = 8

Step 1: Find the prime factorization of 2816

2816 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11

Step 2: Find the prime factorization of 2824

2824 = 2 x 2 x 2 x 353

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2816 and 2824 is 8