Greatest Common Factor of 40160 and 40165

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 40160, 40165 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40160 and 40165 is 5.

GCF(40160,40165) = 5

GCF of 40160 and 40165

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

GCF of:
and

Greatest Common Factor of 40160 and 40165

GCF of 40160 and 40165 is 5

Prime Factorization of 40160


2 40160
2 20080
2 10040
2 5020
2 2510
5 1255
251 251
1

Prime factors of 40160 are 2,5,251. Prime factorization of 40160 in exponential form is:

40160 = 25×51×2511

Prime Factorization of 40165


5 40165
29 8033
277 277
1

Prime factors of 40165 are 5,29,277. Prime factorization of 40165 in exponential form is:

40165 = 51×291×2771

∴ So by taking common prime factors GCF of 40160 and 40165 is 5

Greatest Common Factor of 40160 and 40165 by matching factors method

Factors of 40160

List of positive integer factors of 40160 that divides 40160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160,251,502,1004,1255,2008,2510,4016,5020,8032,10040,20080,40160

Factors of 40165

List of positive integer factors of 40165 that divides 40165 without a remainder.

1,5,29,145,277,1385,8033,40165

Greatest Common Factor

We found the factors and prime factorization of 40160 and 40165. The biggest common factor number is the GCF number.
So the greatest common factor 40160 and 40165 is 5.

Also check out the Least Common Multiple of 40160 and 40165

Properties of GCF 40160 and 40165

(i) The GCF of 40160 and 40165 is associative

GCF of 40160 and 40165 = GCF of 40165 and 40160

Related Greatest Common Factor of 40160

Related Greatest Common Factor of 40165

Frequently Asked Questions on GCF of 40160 and 40165

1. What is the GCF of 40160 and 40165?

Answer: GCF of 40160 and 40165 is 5.

2. What are the Factors of 40160?

Answer: Factors of 40160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 251, 502, 1004, 1255, 2008, 2510, 4016, 5020, 8032, 10040, 20080, 40160. There are 24 integers that are factors of 40160. The greatest factor of 40160 is 40160.

3. What are the Factors of 40165?

Answer: Factors of 40165 are 1, 5, 29, 145, 277, 1385, 8033, 40165. There are 8 integers that are factors of 40165. The greatest factor of 40165 is 40165.

4. How to Find the GCF of 40160 and 40165?

Answer:

Greatest Common Factor of 40160 and 40165 = 5

Step 1: Find the prime factorization of 40160

40160 = 2 x 2 x 2 x 2 x 2 x 5 x 251

Step 2: Find the prime factorization of 40165

40165 = 5 x 29 x 277

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

GCF = 5

Step 4: Therefore, the greatest common factor of 40160 and 40165 is 5