Greatest Common Factor of 8822 and 8824

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, 8824 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8822 and 8824 is 2.

GCF(8822,8824) = 2

GCF of 8822 and 8824

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

GCF of:
and

Greatest Common Factor of 8822 and 8824

GCF of 8822 and 8824 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 8824


2 8824
2 4412
2 2206
1103 1103
1

Prime factors of 8824 are 2,1103. Prime factorization of 8824 in exponential form is:

8824 = 23×11031

∴ So by taking common prime factors GCF of 8822 and 8824 is 2

Greatest Common Factor of 8822 and 8824 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 8824

List of positive integer factors of 8824 that divides 8824 without a remainder.

1,2,4,8,1103,2206,4412,8824

Greatest Common Factor

We found the factors and prime factorization of 8822 and 8824. The biggest common factor number is the GCF number.
So the greatest common factor 8822 and 8824 is 2.

Also check out the Least Common Multiple of 8822 and 8824

Properties of GCF 8822 and 8824

(i) The GCF of 8822 and 8824 is associative

GCF of 8822 and 8824 = GCF of 8824 and 8822

Related Greatest Common Factor of 8822

Related Greatest Common Factor of 8824

Frequently Asked Questions on GCF of 8822 and 8824

1. What is the GCF of 8822 and 8824?

Answer: GCF of 8822 and 8824 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 8824?

Answer: Factors of 8824 are 1, 2, 4, 8, 1103, 2206, 4412, 8824. There are 8 integers that are factors of 8824. The greatest factor of 8824 is 8824.

4. How to Find the GCF of 8822 and 8824?

Answer:

Greatest Common Factor of 8822 and 8824 = 2

Step 1: Find the prime factorization of 8822

8822 = 2 x 11 x 401

Step 2: Find the prime factorization of 8824

8824 = 2 x 2 x 2 x 1103

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 8824 is 2