Greatest Common Factor of 8800 and 8801

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, 8801 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8800 and 8801 is 1.

GCF(8800,8801) = 1

GCF of 8800 and 8801

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

GCF of:
and

Greatest Common Factor of 8800 and 8801

GCF of 8800 and 8801 is 1

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 8801


13 8801
677 677
1

Prime factors of 8801 are 13,677. Prime factorization of 8801 in exponential form is:

8801 = 131×6771

∴ So by taking common prime factors GCF of 8800 and 8801 is 1

Greatest Common Factor of 8800 and 8801 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 8801

List of positive integer factors of 8801 that divides 8801 without a remainder.

1,13,677,8801

Greatest Common Factor

We found the factors and prime factorization of 8800 and 8801. The biggest common factor number is the GCF number.
So the greatest common factor 8800 and 8801 is 1.

Also check out the Least Common Multiple of 8800 and 8801

Properties of GCF 8800 and 8801

(i) The GCF of 8800 and 8801 is associative

GCF of 8800 and 8801 = GCF of 8801 and 8800

Related Greatest Common Factor of 8800

Related Greatest Common Factor of 8801

Frequently Asked Questions on GCF of 8800 and 8801

1. What is the GCF of 8800 and 8801?

Answer: GCF of 8800 and 8801 is 1.

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 8801?

Answer: Factors of 8801 are 1, 13, 677, 8801. There are 4 integers that are factors of 8801. The greatest factor of 8801 is 8801.

4. How to Find the GCF of 8800 and 8801?

Answer:

Greatest Common Factor of 8800 and 8801 = 1

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 8801

8801 = 13 x 677

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8800 and 8801 is 1