Greatest Common Factor of 10158 and 10162

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 10158, 10162 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10158 and 10162 is 2.

GCF(10158,10162) = 2

GCF of 10158 and 10162

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

GCF of:
and

Greatest Common Factor of 10158 and 10162

GCF of 10158 and 10162 is 2

Prime Factorization of 10158


2 10158
3 5079
1693 1693
1

Prime factors of 10158 are 2,3,1693. Prime factorization of 10158 in exponential form is:

10158 = 21×31×16931

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

∴ So by taking common prime factors GCF of 10158 and 10162 is 2

Greatest Common Factor of 10158 and 10162 by matching factors method

Factors of 10158

List of positive integer factors of 10158 that divides 10158 without a remainder.

1,2,3,6,1693,3386,5079,10158

Factors of 10162

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

1,2,5081,10162

Greatest Common Factor

We found the factors and prime factorization of 10158 and 10162. The biggest common factor number is the GCF number.
So the greatest common factor 10158 and 10162 is 2.

Also check out the Least Common Multiple of 10158 and 10162

Properties of GCF 10158 and 10162

(i) The GCF of 10158 and 10162 is associative

GCF of 10158 and 10162 = GCF of 10162 and 10158

Related Greatest Common Factor of 10158

Related Greatest Common Factor of 10162

Frequently Asked Questions on GCF of 10158 and 10162

1. What is the GCF of 10158 and 10162?

Answer: GCF of 10158 and 10162 is 2.

2. What are the Factors of 10158?

Answer: Factors of 10158 are 1, 2, 3, 6, 1693, 3386, 5079, 10158. There are 8 integers that are factors of 10158. The greatest factor of 10158 is 10158.

3. 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.

4. How to Find the GCF of 10158 and 10162?

Answer:

Greatest Common Factor of 10158 and 10162 = 2

Step 1: Find the prime factorization of 10158

10158 = 2 x 3 x 1693

Step 2: Find the prime factorization of 10162

10162 = 2 x 5081

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 10158 and 10162 is 2