Greatest Common Factor of 10162 and 10165

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, 10165 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10162 and 10165 is 1.

GCF(10162,10165) = 1

GCF of 10162 and 10165

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

GCF of:
and

Greatest Common Factor of 10162 and 10165

GCF of 10162 and 10165 is 1

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 10165


5 10165
19 2033
107 107
1

Prime factors of 10165 are 5,19,107. Prime factorization of 10165 in exponential form is:

10165 = 51×191×1071

∴ So by taking common prime factors GCF of 10162 and 10165 is 1

Greatest Common Factor of 10162 and 10165 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 10165

List of positive integer factors of 10165 that divides 10165 without a remainder.

1,5,19,95,107,535,2033,10165

Greatest Common Factor

We found the factors and prime factorization of 10162 and 10165. The biggest common factor number is the GCF number.
So the greatest common factor 10162 and 10165 is 1.

Also check out the Least Common Multiple of 10162 and 10165

Properties of GCF 10162 and 10165

(i) The GCF of 10162 and 10165 is associative

GCF of 10162 and 10165 = GCF of 10165 and 10162

Related Greatest Common Factor of 10162

Related Greatest Common Factor of 10165

Frequently Asked Questions on GCF of 10162 and 10165

1. What is the GCF of 10162 and 10165?

Answer: GCF of 10162 and 10165 is 1.

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 10165?

Answer: Factors of 10165 are 1, 5, 19, 95, 107, 535, 2033, 10165. There are 8 integers that are factors of 10165. The greatest factor of 10165 is 10165.

4. How to Find the GCF of 10162 and 10165?

Answer:

Greatest Common Factor of 10162 and 10165 = 1

Step 1: Find the prime factorization of 10162

10162 = 2 x 5081

Step 2: Find the prime factorization of 10165

10165 = 5 x 19 x 107

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 10162 and 10165 is 1