Greatest Common Factor of 8811 and 8817

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 8811, 8817 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8811 and 8817 is 3.

GCF(8811,8817) = 3

GCF of 8811 and 8817

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

GCF of:
and

Greatest Common Factor of 8811 and 8817

GCF of 8811 and 8817 is 3

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

Prime Factorization of 8817


3 8817
2939 2939
1

Prime factors of 8817 are 3,2939. Prime factorization of 8817 in exponential form is:

8817 = 31×29391

∴ So by taking common prime factors GCF of 8811 and 8817 is 3

Greatest Common Factor of 8811 and 8817 by matching factors method

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

Factors of 8817

List of positive integer factors of 8817 that divides 8817 without a remainder.

1,3,2939,8817

Greatest Common Factor

We found the factors and prime factorization of 8811 and 8817. The biggest common factor number is the GCF number.
So the greatest common factor 8811 and 8817 is 3.

Also check out the Least Common Multiple of 8811 and 8817

Properties of GCF 8811 and 8817

(i) The GCF of 8811 and 8817 is associative

GCF of 8811 and 8817 = GCF of 8817 and 8811

Frequently Asked Questions on GCF of 8811 and 8817

1. What is the GCF of 8811 and 8817?

Answer: GCF of 8811 and 8817 is 3.

2. 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.

3. What are the Factors of 8817?

Answer: Factors of 8817 are 1, 3, 2939, 8817. There are 4 integers that are factors of 8817. The greatest factor of 8817 is 8817.

4. How to Find the GCF of 8811 and 8817?

Answer:

Greatest Common Factor of 8811 and 8817 = 3

Step 1: Find the prime factorization of 8811

8811 = 3 x 3 x 11 x 89

Step 2: Find the prime factorization of 8817

8817 = 3 x 2939

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 8811 and 8817 is 3