Greatest Common Factor of 3996 and 3999

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 3996, 3999 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3996 and 3999 is 3.

GCF(3996,3999) = 3

GCF of 3996 and 3999

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

GCF of:
and

Greatest Common Factor of 3996 and 3999

GCF of 3996 and 3999 is 3

Prime Factorization of 3996


2 3996
2 1998
3 999
3 333
3 111
37 37
1

Prime factors of 3996 are 2,3,37. Prime factorization of 3996 in exponential form is:

3996 = 22×33×371

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

∴ So by taking common prime factors GCF of 3996 and 3999 is 3

Greatest Common Factor of 3996 and 3999 by matching factors method

Factors of 3996

List of positive integer factors of 3996 that divides 3996 without a remainder.

1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996

Factors of 3999

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

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

Greatest Common Factor

We found the factors and prime factorization of 3996 and 3999. The biggest common factor number is the GCF number.
So the greatest common factor 3996 and 3999 is 3.

Also check out the Least Common Multiple of 3996 and 3999

Properties of GCF 3996 and 3999

(i) The GCF of 3996 and 3999 is associative

GCF of 3996 and 3999 = GCF of 3999 and 3996

Related Greatest Common Factor of 3996

Related Greatest Common Factor of 3999

Frequently Asked Questions on GCF of 3996 and 3999

1. What is the GCF of 3996 and 3999?

Answer: GCF of 3996 and 3999 is 3.

2. What are the Factors of 3996?

Answer: Factors of 3996 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996. There are 24 integers that are factors of 3996. The greatest factor of 3996 is 3996.

3. 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.

4. How to Find the GCF of 3996 and 3999?

Answer:

Greatest Common Factor of 3996 and 3999 = 3

Step 1: Find the prime factorization of 3996

3996 = 2 x 2 x 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 3999

3999 = 3 x 31 x 43

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 3996 and 3999 is 3