Greatest Common Factor of 3984 and 3992

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 3984, 3992 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3984 and 3992 is 8.

GCF(3984,3992) = 8

GCF of 3984 and 3992

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

GCF of:
and

Greatest Common Factor of 3984 and 3992

GCF of 3984 and 3992 is 8

Prime Factorization of 3984


2 3984
2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 3984 are 2,3,83. Prime factorization of 3984 in exponential form is:

3984 = 24×31×831

Prime Factorization of 3992


2 3992
2 1996
2 998
499 499
1

Prime factors of 3992 are 2,499. Prime factorization of 3992 in exponential form is:

3992 = 23×4991

∴ So by taking common prime factors GCF of 3984 and 3992 is 8

Greatest Common Factor of 3984 and 3992 by matching factors method

Factors of 3984

List of positive integer factors of 3984 that divides 3984 without a remainder.

1,2,3,4,6,8,12,16,24,48,83,166,249,332,498,664,996,1328,1992,3984

Factors of 3992

List of positive integer factors of 3992 that divides 3992 without a remainder.

1,2,4,8,499,998,1996,3992

Greatest Common Factor

We found the factors and prime factorization of 3984 and 3992. The biggest common factor number is the GCF number.
So the greatest common factor 3984 and 3992 is 8.

Also check out the Least Common Multiple of 3984 and 3992

Properties of GCF 3984 and 3992

(i) The GCF of 3984 and 3992 is associative

GCF of 3984 and 3992 = GCF of 3992 and 3984

Related Greatest Common Factor of 3984

Related Greatest Common Factor of 3992

Frequently Asked Questions on GCF of 3984 and 3992

1. What is the GCF of 3984 and 3992?

Answer: GCF of 3984 and 3992 is 8.

2. What are the Factors of 3984?

Answer: Factors of 3984 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984. There are 20 integers that are factors of 3984. The greatest factor of 3984 is 3984.

3. What are the Factors of 3992?

Answer: Factors of 3992 are 1, 2, 4, 8, 499, 998, 1996, 3992. There are 8 integers that are factors of 3992. The greatest factor of 3992 is 3992.

4. How to Find the GCF of 3984 and 3992?

Answer:

Greatest Common Factor of 3984 and 3992 = 8

Step 1: Find the prime factorization of 3984

3984 = 2 x 2 x 2 x 2 x 3 x 83

Step 2: Find the prime factorization of 3992

3992 = 2 x 2 x 2 x 499

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3984 and 3992 is 8