Greatest Common Factor of 10161 and 10167

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 10161, 10167 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10161 and 10167 is 3.

GCF(10161,10167) = 3

GCF of 10161 and 10167

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

GCF of:
and

Greatest Common Factor of 10161 and 10167

GCF of 10161 and 10167 is 3

Prime Factorization of 10161


3 10161
3 3387
1129 1129
1

Prime factors of 10161 are 3,1129. Prime factorization of 10161 in exponential form is:

10161 = 32×11291

Prime Factorization of 10167


3 10167
3389 3389
1

Prime factors of 10167 are 3,3389. Prime factorization of 10167 in exponential form is:

10167 = 31×33891

∴ So by taking common prime factors GCF of 10161 and 10167 is 3

Greatest Common Factor of 10161 and 10167 by matching factors method

Factors of 10161

List of positive integer factors of 10161 that divides 10161 without a remainder.

1,3,9,1129,3387,10161

Factors of 10167

List of positive integer factors of 10167 that divides 10167 without a remainder.

1,3,3389,10167

Greatest Common Factor

We found the factors and prime factorization of 10161 and 10167. The biggest common factor number is the GCF number.
So the greatest common factor 10161 and 10167 is 3.

Also check out the Least Common Multiple of 10161 and 10167

Properties of GCF 10161 and 10167

(i) The GCF of 10161 and 10167 is associative

GCF of 10161 and 10167 = GCF of 10167 and 10161

Related Greatest Common Factor of 10161

Related Greatest Common Factor of 10167

Frequently Asked Questions on GCF of 10161 and 10167

1. What is the GCF of 10161 and 10167?

Answer: GCF of 10161 and 10167 is 3.

2. What are the Factors of 10161?

Answer: Factors of 10161 are 1, 3, 9, 1129, 3387, 10161. There are 6 integers that are factors of 10161. The greatest factor of 10161 is 10161.

3. What are the Factors of 10167?

Answer: Factors of 10167 are 1, 3, 3389, 10167. There are 4 integers that are factors of 10167. The greatest factor of 10167 is 10167.

4. How to Find the GCF of 10161 and 10167?

Answer:

Greatest Common Factor of 10161 and 10167 = 3

Step 1: Find the prime factorization of 10161

10161 = 3 x 3 x 1129

Step 2: Find the prime factorization of 10167

10167 = 3 x 3389

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

GCF = 3

Step 4: Therefore, the greatest common factor of 10161 and 10167 is 3