Greatest Common Factor of 3995 and 4000

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 3995, 4000 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3995 and 4000 is 5.

GCF(3995,4000) = 5

GCF of 3995 and 4000

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

GCF of:
and

Greatest Common Factor of 3995 and 4000

GCF of 3995 and 4000 is 5

Prime Factorization of 3995


5 3995
17 799
47 47
1

Prime factors of 3995 are 5,17,47. Prime factorization of 3995 in exponential form is:

3995 = 51×171×471

Prime Factorization of 4000


2 4000
2 2000
2 1000
2 500
2 250
5 125
5 25
5 5
1

Prime factors of 4000 are 2,5. Prime factorization of 4000 in exponential form is:

4000 = 25×53

∴ So by taking common prime factors GCF of 3995 and 4000 is 5

Greatest Common Factor of 3995 and 4000 by matching factors method

Factors of 3995

List of positive integer factors of 3995 that divides 3995 without a remainder.

1,5,17,47,85,235,799,3995

Factors of 4000

List of positive integer factors of 4000 that divides 4000 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000

Greatest Common Factor

We found the factors and prime factorization of 3995 and 4000. The biggest common factor number is the GCF number.
So the greatest common factor 3995 and 4000 is 5.

Also check out the Least Common Multiple of 3995 and 4000

Properties of GCF 3995 and 4000

(i) The GCF of 3995 and 4000 is associative

GCF of 3995 and 4000 = GCF of 4000 and 3995

Related Greatest Common Factor of 3995

Related Greatest Common Factor of 4000

Frequently Asked Questions on GCF of 3995 and 4000

1. What is the GCF of 3995 and 4000?

Answer: GCF of 3995 and 4000 is 5.

2. What are the Factors of 3995?

Answer: Factors of 3995 are 1, 5, 17, 47, 85, 235, 799, 3995. There are 8 integers that are factors of 3995. The greatest factor of 3995 is 3995.

3. What are the Factors of 4000?

Answer: Factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000. There are 24 integers that are factors of 4000. The greatest factor of 4000 is 4000.

4. How to Find the GCF of 3995 and 4000?

Answer:

Greatest Common Factor of 3995 and 4000 = 5

Step 1: Find the prime factorization of 3995

3995 = 5 x 17 x 47

Step 2: Find the prime factorization of 4000

4000 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5

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 3995 and 4000 is 5