Greatest Common Factor of 8160 and 8162

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 8160, 8162 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8160 and 8162 is 2.

GCF(8160,8162) = 2

GCF of 8160 and 8162

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

GCF of:
and

Greatest Common Factor of 8160 and 8162

GCF of 8160 and 8162 is 2

Prime Factorization of 8160


2 8160
2 4080
2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 8160 are 2,3,5,17. Prime factorization of 8160 in exponential form is:

8160 = 25×31×51×171

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

∴ So by taking common prime factors GCF of 8160 and 8162 is 2

Greatest Common Factor of 8160 and 8162 by matching factors method

Factors of 8160

List of positive integer factors of 8160 that divides 8160 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160

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

Greatest Common Factor

We found the factors and prime factorization of 8160 and 8162. The biggest common factor number is the GCF number.
So the greatest common factor 8160 and 8162 is 2.

Also check out the Least Common Multiple of 8160 and 8162

Properties of GCF 8160 and 8162

(i) The GCF of 8160 and 8162 is associative

GCF of 8160 and 8162 = GCF of 8162 and 8160

Related Greatest Common Factor of 8160

Related Greatest Common Factor of 8162

Frequently Asked Questions on GCF of 8160 and 8162

1. What is the GCF of 8160 and 8162?

Answer: GCF of 8160 and 8162 is 2.

2. What are the Factors of 8160?

Answer: Factors of 8160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160. There are 48 integers that are factors of 8160. The greatest factor of 8160 is 8160.

3. 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.

4. How to Find the GCF of 8160 and 8162?

Answer:

Greatest Common Factor of 8160 and 8162 = 2

Step 1: Find the prime factorization of 8160

8160 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 8162

8162 = 2 x 7 x 11 x 53

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 8160 and 8162 is 2