Greatest Common Factor of 8812 and 8816

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, 8816 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8812 and 8816 is 4.

GCF(8812,8816) = 4

GCF of 8812 and 8816

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

GCF of:
and

Greatest Common Factor of 8812 and 8816

GCF of 8812 and 8816 is 4

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 8816


2 8816
2 4408
2 2204
2 1102
19 551
29 29
1

Prime factors of 8816 are 2,19,29. Prime factorization of 8816 in exponential form is:

8816 = 24×191×291

∴ So by taking common prime factors GCF of 8812 and 8816 is 4

Greatest Common Factor of 8812 and 8816 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 8816

List of positive integer factors of 8816 that divides 8816 without a remainder.

1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816

Greatest Common Factor

We found the factors and prime factorization of 8812 and 8816. The biggest common factor number is the GCF number.
So the greatest common factor 8812 and 8816 is 4.

Also check out the Least Common Multiple of 8812 and 8816

Properties of GCF 8812 and 8816

(i) The GCF of 8812 and 8816 is associative

GCF of 8812 and 8816 = GCF of 8816 and 8812

Related Greatest Common Factor of 8812

Related Greatest Common Factor of 8816

Frequently Asked Questions on GCF of 8812 and 8816

1. What is the GCF of 8812 and 8816?

Answer: GCF of 8812 and 8816 is 4.

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 8816?

Answer: Factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816. There are 20 integers that are factors of 8816. The greatest factor of 8816 is 8816.

4. How to Find the GCF of 8812 and 8816?

Answer:

Greatest Common Factor of 8812 and 8816 = 4

Step 1: Find the prime factorization of 8812

8812 = 2 x 2 x 2203

Step 2: Find the prime factorization of 8816

8816 = 2 x 2 x 2 x 2 x 19 x 29

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 8812 and 8816 is 4