Greatest Common Factor of 8812 and 8814

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 8812, 8814 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8812 and 8814 is 2.

GCF(8812,8814) = 2

GCF of 8812 and 8814

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

GCF of:
and

Greatest Common Factor of 8812 and 8814

GCF of 8812 and 8814 is 2

Prime Factorization of 8812


2 8812
2 4406
2203 2203
1

Prime factors of 8812 are 2,2203. Prime factorization of 8812 in exponential form is:

8812 = 22×22031

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

∴ So by taking common prime factors GCF of 8812 and 8814 is 2

Greatest Common Factor of 8812 and 8814 by matching factors method

Factors of 8812

List of positive integer factors of 8812 that divides 8812 without a remainder.

1,2,4,2203,4406,8812

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

Greatest Common Factor

We found the factors and prime factorization of 8812 and 8814. The biggest common factor number is the GCF number.
So the greatest common factor 8812 and 8814 is 2.

Also check out the Least Common Multiple of 8812 and 8814

Properties of GCF 8812 and 8814

(i) The GCF of 8812 and 8814 is associative

GCF of 8812 and 8814 = GCF of 8814 and 8812

Related Greatest Common Factor of 8812

Related Greatest Common Factor of 8814

Frequently Asked Questions on GCF of 8812 and 8814

1. What is the GCF of 8812 and 8814?

Answer: GCF of 8812 and 8814 is 2.

2. What are the Factors of 8812?

Answer: Factors of 8812 are 1, 2, 4, 2203, 4406, 8812. There are 6 integers that are factors of 8812. The greatest factor of 8812 is 8812.

3. 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.

4. How to Find the GCF of 8812 and 8814?

Answer:

Greatest Common Factor of 8812 and 8814 = 2

Step 1: Find the prime factorization of 8812

8812 = 2 x 2 x 2203

Step 2: Find the prime factorization of 8814

8814 = 2 x 3 x 13 x 113

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 8812 and 8814 is 2