Greatest Common Factor of 40167 and 40173

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 40167, 40173 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40167 and 40173 is 3.

GCF(40167,40173) = 3

GCF of 40167 and 40173

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

GCF of:
and

Greatest Common Factor of 40167 and 40173

GCF of 40167 and 40173 is 3

Prime Factorization of 40167


3 40167
3 13389
4463 4463
1

Prime factors of 40167 are 3,4463. Prime factorization of 40167 in exponential form is:

40167 = 32×44631

Prime Factorization of 40173


3 40173
7 13391
1913 1913
1

Prime factors of 40173 are 3,7,1913. Prime factorization of 40173 in exponential form is:

40173 = 31×71×19131

∴ So by taking common prime factors GCF of 40167 and 40173 is 3

Greatest Common Factor of 40167 and 40173 by matching factors method

Factors of 40167

List of positive integer factors of 40167 that divides 40167 without a remainder.

1,3,9,4463,13389,40167

Factors of 40173

List of positive integer factors of 40173 that divides 40173 without a remainder.

1,3,7,21,1913,5739,13391,40173

Greatest Common Factor

We found the factors and prime factorization of 40167 and 40173. The biggest common factor number is the GCF number.
So the greatest common factor 40167 and 40173 is 3.

Also check out the Least Common Multiple of 40167 and 40173

Properties of GCF 40167 and 40173

(i) The GCF of 40167 and 40173 is associative

GCF of 40167 and 40173 = GCF of 40173 and 40167

Frequently Asked Questions on GCF of 40167 and 40173

1. What is the GCF of 40167 and 40173?

Answer: GCF of 40167 and 40173 is 3.

2. What are the Factors of 40167?

Answer: Factors of 40167 are 1, 3, 9, 4463, 13389, 40167. There are 6 integers that are factors of 40167. The greatest factor of 40167 is 40167.

3. What are the Factors of 40173?

Answer: Factors of 40173 are 1, 3, 7, 21, 1913, 5739, 13391, 40173. There are 8 integers that are factors of 40173. The greatest factor of 40173 is 40173.

4. How to Find the GCF of 40167 and 40173?

Answer:

Greatest Common Factor of 40167 and 40173 = 3

Step 1: Find the prime factorization of 40167

40167 = 3 x 3 x 4463

Step 2: Find the prime factorization of 40173

40173 = 3 x 7 x 1913

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 40167 and 40173 is 3