Greatest Common Factor of 8822 and 8830

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 8822, 8830 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8822 and 8830 is 2.

GCF(8822,8830) = 2

GCF of 8822 and 8830

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

GCF of:
and

Greatest Common Factor of 8822 and 8830

GCF of 8822 and 8830 is 2

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

Prime Factorization of 8830


2 8830
5 4415
883 883
1

Prime factors of 8830 are 2,5,883. Prime factorization of 8830 in exponential form is:

8830 = 21×51×8831

∴ So by taking common prime factors GCF of 8822 and 8830 is 2

Greatest Common Factor of 8822 and 8830 by matching factors method

Factors of 8822

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

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

Factors of 8830

List of positive integer factors of 8830 that divides 8830 without a remainder.

1,2,5,10,883,1766,4415,8830

Greatest Common Factor

We found the factors and prime factorization of 8822 and 8830. The biggest common factor number is the GCF number.
So the greatest common factor 8822 and 8830 is 2.

Also check out the Least Common Multiple of 8822 and 8830

Properties of GCF 8822 and 8830

(i) The GCF of 8822 and 8830 is associative

GCF of 8822 and 8830 = GCF of 8830 and 8822

Related Greatest Common Factor of 8822

Related Greatest Common Factor of 8830

Frequently Asked Questions on GCF of 8822 and 8830

1. What is the GCF of 8822 and 8830?

Answer: GCF of 8822 and 8830 is 2.

2. 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.

3. What are the Factors of 8830?

Answer: Factors of 8830 are 1, 2, 5, 10, 883, 1766, 4415, 8830. There are 8 integers that are factors of 8830. The greatest factor of 8830 is 8830.

4. How to Find the GCF of 8822 and 8830?

Answer:

Greatest Common Factor of 8822 and 8830 = 2

Step 1: Find the prime factorization of 8822

8822 = 2 x 11 x 401

Step 2: Find the prime factorization of 8830

8830 = 2 x 5 x 883

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 8822 and 8830 is 2