Greatest Common Factor of 8796 and 8804

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 8796, 8804 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8796 and 8804 is 4.

GCF(8796,8804) = 4

GCF of 8796 and 8804

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

GCF of:
and

Greatest Common Factor of 8796 and 8804

GCF of 8796 and 8804 is 4

Prime Factorization of 8796


2 8796
2 4398
3 2199
733 733
1

Prime factors of 8796 are 2,3,733. Prime factorization of 8796 in exponential form is:

8796 = 22×31×7331

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

∴ So by taking common prime factors GCF of 8796 and 8804 is 4

Greatest Common Factor of 8796 and 8804 by matching factors method

Factors of 8796

List of positive integer factors of 8796 that divides 8796 without a remainder.

1,2,3,4,6,12,733,1466,2199,2932,4398,8796

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

Greatest Common Factor

We found the factors and prime factorization of 8796 and 8804. The biggest common factor number is the GCF number.
So the greatest common factor 8796 and 8804 is 4.

Also check out the Least Common Multiple of 8796 and 8804

Properties of GCF 8796 and 8804

(i) The GCF of 8796 and 8804 is associative

GCF of 8796 and 8804 = GCF of 8804 and 8796

Related Greatest Common Factor of 8796

Related Greatest Common Factor of 8804

Frequently Asked Questions on GCF of 8796 and 8804

1. What is the GCF of 8796 and 8804?

Answer: GCF of 8796 and 8804 is 4.

2. What are the Factors of 8796?

Answer: Factors of 8796 are 1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796. There are 12 integers that are factors of 8796. The greatest factor of 8796 is 8796.

3. 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.

4. How to Find the GCF of 8796 and 8804?

Answer:

Greatest Common Factor of 8796 and 8804 = 4

Step 1: Find the prime factorization of 8796

8796 = 2 x 2 x 3 x 733

Step 2: Find the prime factorization of 8804

8804 = 2 x 2 x 31 x 71

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 8796 and 8804 is 4