Greatest Common Factor of 3999 and 4005

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 3999, 4005 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3999 and 4005 is 3.

GCF(3999,4005) = 3

GCF of 3999 and 4005

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

GCF of:
and

Greatest Common Factor of 3999 and 4005

GCF of 3999 and 4005 is 3

Prime Factorization of 3999


3 3999
31 1333
43 43
1

Prime factors of 3999 are 3,31,43. Prime factorization of 3999 in exponential form is:

3999 = 31×311×431

Prime Factorization of 4005


3 4005
3 1335
5 445
89 89
1

Prime factors of 4005 are 3,5,89. Prime factorization of 4005 in exponential form is:

4005 = 32×51×891

∴ So by taking common prime factors GCF of 3999 and 4005 is 3

Greatest Common Factor of 3999 and 4005 by matching factors method

Factors of 3999

List of positive integer factors of 3999 that divides 3999 without a remainder.

1,3,31,43,93,129,1333,3999

Factors of 4005

List of positive integer factors of 4005 that divides 4005 without a remainder.

1,3,5,9,15,45,89,267,445,801,1335,4005

Greatest Common Factor

We found the factors and prime factorization of 3999 and 4005. The biggest common factor number is the GCF number.
So the greatest common factor 3999 and 4005 is 3.

Also check out the Least Common Multiple of 3999 and 4005

Properties of GCF 3999 and 4005

(i) The GCF of 3999 and 4005 is associative

GCF of 3999 and 4005 = GCF of 4005 and 3999

Related Greatest Common Factor of 3999

Related Greatest Common Factor of 4005

Frequently Asked Questions on GCF of 3999 and 4005

1. What is the GCF of 3999 and 4005?

Answer: GCF of 3999 and 4005 is 3.

2. What are the Factors of 3999?

Answer: Factors of 3999 are 1, 3, 31, 43, 93, 129, 1333, 3999. There are 8 integers that are factors of 3999. The greatest factor of 3999 is 3999.

3. What are the Factors of 4005?

Answer: Factors of 4005 are 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005. There are 12 integers that are factors of 4005. The greatest factor of 4005 is 4005.

4. How to Find the GCF of 3999 and 4005?

Answer:

Greatest Common Factor of 3999 and 4005 = 3

Step 1: Find the prime factorization of 3999

3999 = 3 x 31 x 43

Step 2: Find the prime factorization of 4005

4005 = 3 x 3 x 5 x 89

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 3999 and 4005 is 3