Greatest Common Factor of 3990 and 3996

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 3990, 3996 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3990 and 3996 is 6.

GCF(3990,3996) = 6

GCF of 3990 and 3996

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

GCF of:
and

Greatest Common Factor of 3990 and 3996

GCF of 3990 and 3996 is 6

Prime Factorization of 3990


2 3990
3 1995
5 665
7 133
19 19
1

Prime factors of 3990 are 2,3,5,7,19. Prime factorization of 3990 in exponential form is:

3990 = 21×31×51×71×191

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

∴ So by taking common prime factors GCF of 3990 and 3996 is 6

Greatest Common Factor of 3990 and 3996 by matching factors method

Factors of 3990

List of positive integer factors of 3990 that divides 3990 without a remainder.

1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990

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

Greatest Common Factor

We found the factors and prime factorization of 3990 and 3996. The biggest common factor number is the GCF number.
So the greatest common factor 3990 and 3996 is 6.

Also check out the Least Common Multiple of 3990 and 3996

Properties of GCF 3990 and 3996

(i) The GCF of 3990 and 3996 is associative

GCF of 3990 and 3996 = GCF of 3996 and 3990

Related Greatest Common Factor of 3990

Related Greatest Common Factor of 3996

Frequently Asked Questions on GCF of 3990 and 3996

1. What is the GCF of 3990 and 3996?

Answer: GCF of 3990 and 3996 is 6.

2. What are the Factors of 3990?

Answer: Factors of 3990 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990. There are 32 integers that are factors of 3990. The greatest factor of 3990 is 3990.

3. 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.

4. How to Find the GCF of 3990 and 3996?

Answer:

Greatest Common Factor of 3990 and 3996 = 6

Step 1: Find the prime factorization of 3990

3990 = 2 x 3 x 5 x 7 x 19

Step 2: Find the prime factorization of 3996

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3990 and 3996 is 6