Greatest Common Factor of 8816 and 8818

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 8816, 8818 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8816 and 8818 is 2.

GCF(8816,8818) = 2

GCF of 8816 and 8818

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

GCF of:
and

Greatest Common Factor of 8816 and 8818

GCF of 8816 and 8818 is 2

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

Prime Factorization of 8818


2 8818
4409 4409
1

Prime factors of 8818 are 2,4409. Prime factorization of 8818 in exponential form is:

8818 = 21×44091

∴ So by taking common prime factors GCF of 8816 and 8818 is 2

Greatest Common Factor of 8816 and 8818 by matching factors method

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

Factors of 8818

List of positive integer factors of 8818 that divides 8818 without a remainder.

1,2,4409,8818

Greatest Common Factor

We found the factors and prime factorization of 8816 and 8818. The biggest common factor number is the GCF number.
So the greatest common factor 8816 and 8818 is 2.

Also check out the Least Common Multiple of 8816 and 8818

Properties of GCF 8816 and 8818

(i) The GCF of 8816 and 8818 is associative

GCF of 8816 and 8818 = GCF of 8818 and 8816

Frequently Asked Questions on GCF of 8816 and 8818

1. What is the GCF of 8816 and 8818?

Answer: GCF of 8816 and 8818 is 2.

2. 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.

3. What are the Factors of 8818?

Answer: Factors of 8818 are 1, 2, 4409, 8818. There are 4 integers that are factors of 8818. The greatest factor of 8818 is 8818.

4. How to Find the GCF of 8816 and 8818?

Answer:

Greatest Common Factor of 8816 and 8818 = 2

Step 1: Find the prime factorization of 8816

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

Step 2: Find the prime factorization of 8818

8818 = 2 x 4409

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 8816 and 8818 is 2