Greatest Common Factor of 3988 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 3988, 3996 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3988 and 3996 is 4.

GCF(3988,3996) = 4

GCF of 3988 and 3996

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

GCF of:
and

Greatest Common Factor of 3988 and 3996

GCF of 3988 and 3996 is 4

Prime Factorization of 3988


2 3988
2 1994
997 997
1

Prime factors of 3988 are 2,997. Prime factorization of 3988 in exponential form is:

3988 = 22×9971

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 3988 and 3996 is 4

Greatest Common Factor of 3988 and 3996 by matching factors method

Factors of 3988

List of positive integer factors of 3988 that divides 3988 without a remainder.

1,2,4,997,1994,3988

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 3988 and 3996. The biggest common factor number is the GCF number.
So the greatest common factor 3988 and 3996 is 4.

Also check out the Least Common Multiple of 3988 and 3996

Properties of GCF 3988 and 3996

(i) The GCF of 3988 and 3996 is associative

GCF of 3988 and 3996 = GCF of 3996 and 3988

Related Greatest Common Factor of 3988

Related Greatest Common Factor of 3996

Frequently Asked Questions on GCF of 3988 and 3996

1. What is the GCF of 3988 and 3996?

Answer: GCF of 3988 and 3996 is 4.

2. What are the Factors of 3988?

Answer: Factors of 3988 are 1, 2, 4, 997, 1994, 3988. There are 6 integers that are factors of 3988. The greatest factor of 3988 is 3988.

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 3988 and 3996?

Answer:

Greatest Common Factor of 3988 and 3996 = 4

Step 1: Find the prime factorization of 3988

3988 = 2 x 2 x 997

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 2 = 4

Step 4: Therefore, the greatest common factor of 3988 and 3996 is 4