Greatest Common Factor of 8800 and 8802

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, 8802 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8800 and 8802 is 2.

GCF(8800,8802) = 2

GCF of 8800 and 8802

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

GCF of:
and

Greatest Common Factor of 8800 and 8802

GCF of 8800 and 8802 is 2

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 8802


2 8802
3 4401
3 1467
3 489
163 163
1

Prime factors of 8802 are 2,3,163. Prime factorization of 8802 in exponential form is:

8802 = 21×33×1631

∴ So by taking common prime factors GCF of 8800 and 8802 is 2

Greatest Common Factor of 8800 and 8802 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 8802

List of positive integer factors of 8802 that divides 8802 without a remainder.

1,2,3,6,9,18,27,54,163,326,489,978,1467,2934,4401,8802

Greatest Common Factor

We found the factors and prime factorization of 8800 and 8802. The biggest common factor number is the GCF number.
So the greatest common factor 8800 and 8802 is 2.

Also check out the Least Common Multiple of 8800 and 8802

Properties of GCF 8800 and 8802

(i) The GCF of 8800 and 8802 is associative

GCF of 8800 and 8802 = GCF of 8802 and 8800

Related Greatest Common Factor of 8800

Related Greatest Common Factor of 8802

Frequently Asked Questions on GCF of 8800 and 8802

1. What is the GCF of 8800 and 8802?

Answer: GCF of 8800 and 8802 is 2.

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 8802?

Answer: Factors of 8802 are 1, 2, 3, 6, 9, 18, 27, 54, 163, 326, 489, 978, 1467, 2934, 4401, 8802. There are 16 integers that are factors of 8802. The greatest factor of 8802 is 8802.

4. How to Find the GCF of 8800 and 8802?

Answer:

Greatest Common Factor of 8800 and 8802 = 2

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 8802

8802 = 2 x 3 x 3 x 3 x 163

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 8800 and 8802 is 2