Greatest Common Factor of 8166 and 8168

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 8166, 8168 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8166 and 8168 is 2.

GCF(8166,8168) = 2

GCF of 8166 and 8168

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

GCF of:
and

Greatest Common Factor of 8166 and 8168

GCF of 8166 and 8168 is 2

Prime Factorization of 8166


2 8166
3 4083
1361 1361
1

Prime factors of 8166 are 2,3,1361. Prime factorization of 8166 in exponential form is:

8166 = 21×31×13611

Prime Factorization of 8168


2 8168
2 4084
2 2042
1021 1021
1

Prime factors of 8168 are 2,1021. Prime factorization of 8168 in exponential form is:

8168 = 23×10211

∴ So by taking common prime factors GCF of 8166 and 8168 is 2

Greatest Common Factor of 8166 and 8168 by matching factors method

Factors of 8166

List of positive integer factors of 8166 that divides 8166 without a remainder.

1,2,3,6,1361,2722,4083,8166

Factors of 8168

List of positive integer factors of 8168 that divides 8168 without a remainder.

1,2,4,8,1021,2042,4084,8168

Greatest Common Factor

We found the factors and prime factorization of 8166 and 8168. The biggest common factor number is the GCF number.
So the greatest common factor 8166 and 8168 is 2.

Also check out the Least Common Multiple of 8166 and 8168

Properties of GCF 8166 and 8168

(i) The GCF of 8166 and 8168 is associative

GCF of 8166 and 8168 = GCF of 8168 and 8166

Related Greatest Common Factor of 8166

Related Greatest Common Factor of 8168

Frequently Asked Questions on GCF of 8166 and 8168

1. What is the GCF of 8166 and 8168?

Answer: GCF of 8166 and 8168 is 2.

2. What are the Factors of 8166?

Answer: Factors of 8166 are 1, 2, 3, 6, 1361, 2722, 4083, 8166. There are 8 integers that are factors of 8166. The greatest factor of 8166 is 8166.

3. What are the Factors of 8168?

Answer: Factors of 8168 are 1, 2, 4, 8, 1021, 2042, 4084, 8168. There are 8 integers that are factors of 8168. The greatest factor of 8168 is 8168.

4. How to Find the GCF of 8166 and 8168?

Answer:

Greatest Common Factor of 8166 and 8168 = 2

Step 1: Find the prime factorization of 8166

8166 = 2 x 3 x 1361

Step 2: Find the prime factorization of 8168

8168 = 2 x 2 x 2 x 1021

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 8166 and 8168 is 2