Greatest Common Factor of 8804 and 8810

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 8804, 8810 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8804 and 8810 is 2.

GCF(8804,8810) = 2

GCF of 8804 and 8810

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

GCF of:
and

Greatest Common Factor of 8804 and 8810

GCF of 8804 and 8810 is 2

Prime Factorization of 8804


2 8804
2 4402
31 2201
71 71
1

Prime factors of 8804 are 2,31,71. Prime factorization of 8804 in exponential form is:

8804 = 22×311×711

Prime Factorization of 8810


2 8810
5 4405
881 881
1

Prime factors of 8810 are 2,5,881. Prime factorization of 8810 in exponential form is:

8810 = 21×51×8811

∴ So by taking common prime factors GCF of 8804 and 8810 is 2

Greatest Common Factor of 8804 and 8810 by matching factors method

Factors of 8804

List of positive integer factors of 8804 that divides 8804 without a remainder.

1,2,4,31,62,71,124,142,284,2201,4402,8804

Factors of 8810

List of positive integer factors of 8810 that divides 8810 without a remainder.

1,2,5,10,881,1762,4405,8810

Greatest Common Factor

We found the factors and prime factorization of 8804 and 8810. The biggest common factor number is the GCF number.
So the greatest common factor 8804 and 8810 is 2.

Also check out the Least Common Multiple of 8804 and 8810

Properties of GCF 8804 and 8810

(i) The GCF of 8804 and 8810 is associative

GCF of 8804 and 8810 = GCF of 8810 and 8804

Related Greatest Common Factor of 8804

Related Greatest Common Factor of 8810

Frequently Asked Questions on GCF of 8804 and 8810

1. What is the GCF of 8804 and 8810?

Answer: GCF of 8804 and 8810 is 2.

2. What are the Factors of 8804?

Answer: Factors of 8804 are 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804. There are 12 integers that are factors of 8804. The greatest factor of 8804 is 8804.

3. What are the Factors of 8810?

Answer: Factors of 8810 are 1, 2, 5, 10, 881, 1762, 4405, 8810. There are 8 integers that are factors of 8810. The greatest factor of 8810 is 8810.

4. How to Find the GCF of 8804 and 8810?

Answer:

Greatest Common Factor of 8804 and 8810 = 2

Step 1: Find the prime factorization of 8804

8804 = 2 x 2 x 31 x 71

Step 2: Find the prime factorization of 8810

8810 = 2 x 5 x 881

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 8804 and 8810 is 2