Greatest Common Factor of 8804 and 8812

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 8804, 8812 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8804 and 8812 is 4.

GCF(8804,8812) = 4

GCF of 8804 and 8812

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

GCF of:
and

Greatest Common Factor of 8804 and 8812

GCF of 8804 and 8812 is 4

Prime Factorization of 8804


2 8804
2 4402
31 2201
71 71
1

Prime factors of 8804 are 2,31,71. Prime factorization of 8804 in exponential form is:

8804 = 22×311×711

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

∴ So by taking common prime factors GCF of 8804 and 8812 is 4

Greatest Common Factor of 8804 and 8812 by matching factors method

Factors of 8804

List of positive integer factors of 8804 that divides 8804 without a remainder.

1,2,4,31,62,71,124,142,284,2201,4402,8804

Factors of 8812

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

1,2,4,2203,4406,8812

Greatest Common Factor

We found the factors and prime factorization of 8804 and 8812. The biggest common factor number is the GCF number.
So the greatest common factor 8804 and 8812 is 4.

Also check out the Least Common Multiple of 8804 and 8812

Properties of GCF 8804 and 8812

(i) The GCF of 8804 and 8812 is associative

GCF of 8804 and 8812 = GCF of 8812 and 8804

Related Greatest Common Factor of 8804

Related Greatest Common Factor of 8812

Frequently Asked Questions on GCF of 8804 and 8812

1. What is the GCF of 8804 and 8812?

Answer: GCF of 8804 and 8812 is 4.

2. What are the Factors of 8804?

Answer: Factors of 8804 are 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804. There are 12 integers that are factors of 8804. The greatest factor of 8804 is 8804.

3. 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.

4. How to Find the GCF of 8804 and 8812?

Answer:

Greatest Common Factor of 8804 and 8812 = 4

Step 1: Find the prime factorization of 8804

8804 = 2 x 2 x 31 x 71

Step 2: Find the prime factorization of 8812

8812 = 2 x 2 x 2203

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8804 and 8812 is 4