Greatest Common Factor of 10162 and 10166

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 10162, 10166 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10162 and 10166 is 2.

GCF(10162,10166) = 2

GCF of 10162 and 10166

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

GCF of:
and

Greatest Common Factor of 10162 and 10166

GCF of 10162 and 10166 is 2

Prime Factorization of 10162


2 10162
5081 5081
1

Prime factors of 10162 are 2,5081. Prime factorization of 10162 in exponential form is:

10162 = 21×50811

Prime Factorization of 10166


2 10166
13 5083
17 391
23 23
1

Prime factors of 10166 are 2,13,17,23. Prime factorization of 10166 in exponential form is:

10166 = 21×131×171×231

∴ So by taking common prime factors GCF of 10162 and 10166 is 2

Greatest Common Factor of 10162 and 10166 by matching factors method

Factors of 10162

List of positive integer factors of 10162 that divides 10162 without a remainder.

1,2,5081,10162

Factors of 10166

List of positive integer factors of 10166 that divides 10166 without a remainder.

1,2,13,17,23,26,34,46,221,299,391,442,598,782,5083,10166

Greatest Common Factor

We found the factors and prime factorization of 10162 and 10166. The biggest common factor number is the GCF number.
So the greatest common factor 10162 and 10166 is 2.

Also check out the Least Common Multiple of 10162 and 10166

Properties of GCF 10162 and 10166

(i) The GCF of 10162 and 10166 is associative

GCF of 10162 and 10166 = GCF of 10166 and 10162

Related Greatest Common Factor of 10162

Related Greatest Common Factor of 10166

Frequently Asked Questions on GCF of 10162 and 10166

1. What is the GCF of 10162 and 10166?

Answer: GCF of 10162 and 10166 is 2.

2. What are the Factors of 10162?

Answer: Factors of 10162 are 1, 2, 5081, 10162. There are 4 integers that are factors of 10162. The greatest factor of 10162 is 10162.

3. What are the Factors of 10166?

Answer: Factors of 10166 are 1, 2, 13, 17, 23, 26, 34, 46, 221, 299, 391, 442, 598, 782, 5083, 10166. There are 16 integers that are factors of 10166. The greatest factor of 10166 is 10166.

4. How to Find the GCF of 10162 and 10166?

Answer:

Greatest Common Factor of 10162 and 10166 = 2

Step 1: Find the prime factorization of 10162

10162 = 2 x 5081

Step 2: Find the prime factorization of 10166

10166 = 2 x 13 x 17 x 23

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 10162 and 10166 is 2