Greatest Common Factor of 3984 and 3989

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, 3989 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3984 and 3989 is 1.

GCF(3984,3989) = 1

GCF of 3984 and 3989

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

GCF of:
and

Greatest Common Factor of 3984 and 3989

GCF of 3984 and 3989 is 1

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 3989


3989 3989
1

Prime factors of 3989 are 3989. Prime factorization of 3989 in exponential form is:

3989 = 39891

∴ So by taking common prime factors GCF of 3984 and 3989 is 1

Greatest Common Factor of 3984 and 3989 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 3989

List of positive integer factors of 3989 that divides 3989 without a remainder.

1,3989

Greatest Common Factor

We found the factors and prime factorization of 3984 and 3989. The biggest common factor number is the GCF number.
So the greatest common factor 3984 and 3989 is 1.

Also check out the Least Common Multiple of 3984 and 3989

Properties of GCF 3984 and 3989

(i) The GCF of 3984 and 3989 is associative

GCF of 3984 and 3989 = GCF of 3989 and 3984

Related Greatest Common Factor of 3984

Related Greatest Common Factor of 3989

Frequently Asked Questions on GCF of 3984 and 3989

1. What is the GCF of 3984 and 3989?

Answer: GCF of 3984 and 3989 is 1.

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 3989?

Answer: Factors of 3989 are 1, 3989. There are 2 integers that are factors of 3989. The greatest factor of 3989 is 3989.

4. How to Find the GCF of 3984 and 3989?

Answer:

Greatest Common Factor of 3984 and 3989 = 1

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 3989

3989 = 3989

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3984 and 3989 is 1