Greatest Common Factor of 8800 and 8805

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 8800, 8805 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8800 and 8805 is 5.

GCF(8800,8805) = 5

GCF of 8800 and 8805

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

GCF of:
and

Greatest Common Factor of 8800 and 8805

GCF of 8800 and 8805 is 5

Prime Factorization of 8800


2 8800
2 4400
2 2200
2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 8800 are 2,5,11. Prime factorization of 8800 in exponential form is:

8800 = 25×52×111

Prime Factorization of 8805


3 8805
5 2935
587 587
1

Prime factors of 8805 are 3,5,587. Prime factorization of 8805 in exponential form is:

8805 = 31×51×5871

∴ So by taking common prime factors GCF of 8800 and 8805 is 5

Greatest Common Factor of 8800 and 8805 by matching factors method

Factors of 8800

List of positive integer factors of 8800 that divides 8800 without a remainder.

1,2,4,5,8,10,11,16,20,22,25,32,40,44,50,55,80,88,100,110,160,176,200,220,275,352,400,440,550,800,880,1100,1760,2200,4400,8800

Factors of 8805

List of positive integer factors of 8805 that divides 8805 without a remainder.

1,3,5,15,587,1761,2935,8805

Greatest Common Factor

We found the factors and prime factorization of 8800 and 8805. The biggest common factor number is the GCF number.
So the greatest common factor 8800 and 8805 is 5.

Also check out the Least Common Multiple of 8800 and 8805

Properties of GCF 8800 and 8805

(i) The GCF of 8800 and 8805 is associative

GCF of 8800 and 8805 = GCF of 8805 and 8800

Related Greatest Common Factor of 8800

Related Greatest Common Factor of 8805

Frequently Asked Questions on GCF of 8800 and 8805

1. What is the GCF of 8800 and 8805?

Answer: GCF of 8800 and 8805 is 5.

2. What are the Factors of 8800?

Answer: Factors of 8800 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, 8800. There are 36 integers that are factors of 8800. The greatest factor of 8800 is 8800.

3. What are the Factors of 8805?

Answer: Factors of 8805 are 1, 3, 5, 15, 587, 1761, 2935, 8805. There are 8 integers that are factors of 8805. The greatest factor of 8805 is 8805.

4. How to Find the GCF of 8800 and 8805?

Answer:

Greatest Common Factor of 8800 and 8805 = 5

Step 1: Find the prime factorization of 8800

8800 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 8805

8805 = 3 x 5 x 587

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 8800 and 8805 is 5