Greatest Common Factor of 8802 and 8806

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 8802, 8806 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8802 and 8806 is 2.

GCF(8802,8806) = 2

GCF of 8802 and 8806

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

GCF of:
and

Greatest Common Factor of 8802 and 8806

GCF of 8802 and 8806 is 2

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

Prime Factorization of 8806


2 8806
7 4403
17 629
37 37
1

Prime factors of 8806 are 2,7,17,37. Prime factorization of 8806 in exponential form is:

8806 = 21×71×171×371

∴ So by taking common prime factors GCF of 8802 and 8806 is 2

Greatest Common Factor of 8802 and 8806 by matching factors method

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

Factors of 8806

List of positive integer factors of 8806 that divides 8806 without a remainder.

1,2,7,14,17,34,37,74,119,238,259,518,629,1258,4403,8806

Greatest Common Factor

We found the factors and prime factorization of 8802 and 8806. The biggest common factor number is the GCF number.
So the greatest common factor 8802 and 8806 is 2.

Also check out the Least Common Multiple of 8802 and 8806

Properties of GCF 8802 and 8806

(i) The GCF of 8802 and 8806 is associative

GCF of 8802 and 8806 = GCF of 8806 and 8802

Related Greatest Common Factor of 8802

Related Greatest Common Factor of 8806

Frequently Asked Questions on GCF of 8802 and 8806

1. What is the GCF of 8802 and 8806?

Answer: GCF of 8802 and 8806 is 2.

2. 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.

3. What are the Factors of 8806?

Answer: Factors of 8806 are 1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806. There are 16 integers that are factors of 8806. The greatest factor of 8806 is 8806.

4. How to Find the GCF of 8802 and 8806?

Answer:

Greatest Common Factor of 8802 and 8806 = 2

Step 1: Find the prime factorization of 8802

8802 = 2 x 3 x 3 x 3 x 163

Step 2: Find the prime factorization of 8806

8806 = 2 x 7 x 17 x 37

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 8802 and 8806 is 2