Greatest Common Factor of 8805 and 8811

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 8805, 8811 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8805 and 8811 is 3.

GCF(8805,8811) = 3

GCF of 8805 and 8811

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

GCF of:
and

Greatest Common Factor of 8805 and 8811

GCF of 8805 and 8811 is 3

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

Prime Factorization of 8811


3 8811
3 2937
11 979
89 89
1

Prime factors of 8811 are 3,11,89. Prime factorization of 8811 in exponential form is:

8811 = 32×111×891

∴ So by taking common prime factors GCF of 8805 and 8811 is 3

Greatest Common Factor of 8805 and 8811 by matching factors method

Factors of 8805

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

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

Factors of 8811

List of positive integer factors of 8811 that divides 8811 without a remainder.

1,3,9,11,33,89,99,267,801,979,2937,8811

Greatest Common Factor

We found the factors and prime factorization of 8805 and 8811. The biggest common factor number is the GCF number.
So the greatest common factor 8805 and 8811 is 3.

Also check out the Least Common Multiple of 8805 and 8811

Properties of GCF 8805 and 8811

(i) The GCF of 8805 and 8811 is associative

GCF of 8805 and 8811 = GCF of 8811 and 8805

Related Greatest Common Factor of 8805

Related Greatest Common Factor of 8811

Frequently Asked Questions on GCF of 8805 and 8811

1. What is the GCF of 8805 and 8811?

Answer: GCF of 8805 and 8811 is 3.

2. 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.

3. What are the Factors of 8811?

Answer: Factors of 8811 are 1, 3, 9, 11, 33, 89, 99, 267, 801, 979, 2937, 8811. There are 12 integers that are factors of 8811. The greatest factor of 8811 is 8811.

4. How to Find the GCF of 8805 and 8811?

Answer:

Greatest Common Factor of 8805 and 8811 = 3

Step 1: Find the prime factorization of 8805

8805 = 3 x 5 x 587

Step 2: Find the prime factorization of 8811

8811 = 3 x 3 x 11 x 89

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8805 and 8811 is 3