Greatest Common Factor of 8814 and 8818

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 8814, 8818 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8814 and 8818 is 2.

GCF(8814,8818) = 2

GCF of 8814 and 8818

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

GCF of:
and

Greatest Common Factor of 8814 and 8818

GCF of 8814 and 8818 is 2

Prime Factorization of 8814


2 8814
3 4407
13 1469
113 113
1

Prime factors of 8814 are 2,3,13,113. Prime factorization of 8814 in exponential form is:

8814 = 21×31×131×1131

Prime Factorization of 8818


2 8818
4409 4409
1

Prime factors of 8818 are 2,4409. Prime factorization of 8818 in exponential form is:

8818 = 21×44091

∴ So by taking common prime factors GCF of 8814 and 8818 is 2

Greatest Common Factor of 8814 and 8818 by matching factors method

Factors of 8814

List of positive integer factors of 8814 that divides 8814 without a remainder.

1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814

Factors of 8818

List of positive integer factors of 8818 that divides 8818 without a remainder.

1,2,4409,8818

Greatest Common Factor

We found the factors and prime factorization of 8814 and 8818. The biggest common factor number is the GCF number.
So the greatest common factor 8814 and 8818 is 2.

Also check out the Least Common Multiple of 8814 and 8818

Properties of GCF 8814 and 8818

(i) The GCF of 8814 and 8818 is associative

GCF of 8814 and 8818 = GCF of 8818 and 8814

Related Greatest Common Factor of 8814

Related Greatest Common Factor of 8818

Frequently Asked Questions on GCF of 8814 and 8818

1. What is the GCF of 8814 and 8818?

Answer: GCF of 8814 and 8818 is 2.

2. What are the Factors of 8814?

Answer: Factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814. There are 16 integers that are factors of 8814. The greatest factor of 8814 is 8814.

3. What are the Factors of 8818?

Answer: Factors of 8818 are 1, 2, 4409, 8818. There are 4 integers that are factors of 8818. The greatest factor of 8818 is 8818.

4. How to Find the GCF of 8814 and 8818?

Answer:

Greatest Common Factor of 8814 and 8818 = 2

Step 1: Find the prime factorization of 8814

8814 = 2 x 3 x 13 x 113

Step 2: Find the prime factorization of 8818

8818 = 2 x 4409

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 8814 and 8818 is 2