Greatest Common Factor of 8162 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 8162, 8168 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8162 and 8168 is 2.

GCF(8162,8168) = 2

GCF of 8162 and 8168

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

GCF of:
and

Greatest Common Factor of 8162 and 8168

GCF of 8162 and 8168 is 2

Prime Factorization of 8162


2 8162
7 4081
11 583
53 53
1

Prime factors of 8162 are 2,7,11,53. Prime factorization of 8162 in exponential form is:

8162 = 21×71×111×531

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 8162 and 8168 is 2

Greatest Common Factor of 8162 and 8168 by matching factors method

Factors of 8162

List of positive integer factors of 8162 that divides 8162 without a remainder.

1,2,7,11,14,22,53,77,106,154,371,583,742,1166,4081,8162

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 8162 and 8168. The biggest common factor number is the GCF number.
So the greatest common factor 8162 and 8168 is 2.

Also check out the Least Common Multiple of 8162 and 8168

Properties of GCF 8162 and 8168

(i) The GCF of 8162 and 8168 is associative

GCF of 8162 and 8168 = GCF of 8168 and 8162

Related Greatest Common Factor of 8162

Related Greatest Common Factor of 8168

Frequently Asked Questions on GCF of 8162 and 8168

1. What is the GCF of 8162 and 8168?

Answer: GCF of 8162 and 8168 is 2.

2. What are the Factors of 8162?

Answer: Factors of 8162 are 1, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081, 8162. There are 16 integers that are factors of 8162. The greatest factor of 8162 is 8162.

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 8162 and 8168?

Answer:

Greatest Common Factor of 8162 and 8168 = 2

Step 1: Find the prime factorization of 8162

8162 = 2 x 7 x 11 x 53

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 8162 and 8168 is 2