Greatest Common Factor of 8162 and 8170

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, 8170 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8162 and 8170 is 2.

GCF(8162,8170) = 2

GCF of 8162 and 8170

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

GCF of:
and

Greatest Common Factor of 8162 and 8170

GCF of 8162 and 8170 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 8170


2 8170
5 4085
19 817
43 43
1

Prime factors of 8170 are 2,5,19,43. Prime factorization of 8170 in exponential form is:

8170 = 21×51×191×431

∴ So by taking common prime factors GCF of 8162 and 8170 is 2

Greatest Common Factor of 8162 and 8170 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 8170

List of positive integer factors of 8170 that divides 8170 without a remainder.

1,2,5,10,19,38,43,86,95,190,215,430,817,1634,4085,8170

Greatest Common Factor

We found the factors and prime factorization of 8162 and 8170. The biggest common factor number is the GCF number.
So the greatest common factor 8162 and 8170 is 2.

Also check out the Least Common Multiple of 8162 and 8170

Properties of GCF 8162 and 8170

(i) The GCF of 8162 and 8170 is associative

GCF of 8162 and 8170 = GCF of 8170 and 8162

Related Greatest Common Factor of 8162

Related Greatest Common Factor of 8170

Frequently Asked Questions on GCF of 8162 and 8170

1. What is the GCF of 8162 and 8170?

Answer: GCF of 8162 and 8170 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 8170?

Answer: Factors of 8170 are 1, 2, 5, 10, 19, 38, 43, 86, 95, 190, 215, 430, 817, 1634, 4085, 8170. There are 16 integers that are factors of 8170. The greatest factor of 8170 is 8170.

4. How to Find the GCF of 8162 and 8170?

Answer:

Greatest Common Factor of 8162 and 8170 = 2

Step 1: Find the prime factorization of 8162

8162 = 2 x 7 x 11 x 53

Step 2: Find the prime factorization of 8170

8170 = 2 x 5 x 19 x 43

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 8170 is 2