Greatest Common Factor of 8814 and 8822

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, 8822 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8814 and 8822 is 2.

GCF(8814,8822) = 2

GCF of 8814 and 8822

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

GCF of:
and

Greatest Common Factor of 8814 and 8822

GCF of 8814 and 8822 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 8822


2 8822
11 4411
401 401
1

Prime factors of 8822 are 2,11,401. Prime factorization of 8822 in exponential form is:

8822 = 21×111×4011

∴ So by taking common prime factors GCF of 8814 and 8822 is 2

Greatest Common Factor of 8814 and 8822 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 8822

List of positive integer factors of 8822 that divides 8822 without a remainder.

1,2,11,22,401,802,4411,8822

Greatest Common Factor

We found the factors and prime factorization of 8814 and 8822. The biggest common factor number is the GCF number.
So the greatest common factor 8814 and 8822 is 2.

Also check out the Least Common Multiple of 8814 and 8822

Properties of GCF 8814 and 8822

(i) The GCF of 8814 and 8822 is associative

GCF of 8814 and 8822 = GCF of 8822 and 8814

Related Greatest Common Factor of 8814

Related Greatest Common Factor of 8822

Frequently Asked Questions on GCF of 8814 and 8822

1. What is the GCF of 8814 and 8822?

Answer: GCF of 8814 and 8822 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 8822?

Answer: Factors of 8822 are 1, 2, 11, 22, 401, 802, 4411, 8822. There are 8 integers that are factors of 8822. The greatest factor of 8822 is 8822.

4. How to Find the GCF of 8814 and 8822?

Answer:

Greatest Common Factor of 8814 and 8822 = 2

Step 1: Find the prime factorization of 8814

8814 = 2 x 3 x 13 x 113

Step 2: Find the prime factorization of 8822

8822 = 2 x 11 x 401

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 8822 is 2