Greatest Common Factor of 3984 and 3991

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, 3991 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3984 and 3991 is 1.

GCF(3984,3991) = 1

GCF of 3984 and 3991

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

GCF of:
and

Greatest Common Factor of 3984 and 3991

GCF of 3984 and 3991 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 3991


13 3991
307 307
1

Prime factors of 3991 are 13,307. Prime factorization of 3991 in exponential form is:

3991 = 131×3071

∴ So by taking common prime factors GCF of 3984 and 3991 is 1

Greatest Common Factor of 3984 and 3991 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 3991

List of positive integer factors of 3991 that divides 3991 without a remainder.

1,13,307,3991

Greatest Common Factor

We found the factors and prime factorization of 3984 and 3991. The biggest common factor number is the GCF number.
So the greatest common factor 3984 and 3991 is 1.

Also check out the Least Common Multiple of 3984 and 3991

Properties of GCF 3984 and 3991

(i) The GCF of 3984 and 3991 is associative

GCF of 3984 and 3991 = GCF of 3991 and 3984

Related Greatest Common Factor of 3984

Related Greatest Common Factor of 3991

Frequently Asked Questions on GCF of 3984 and 3991

1. What is the GCF of 3984 and 3991?

Answer: GCF of 3984 and 3991 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 3991?

Answer: Factors of 3991 are 1, 13, 307, 3991. There are 4 integers that are factors of 3991. The greatest factor of 3991 is 3991.

4. How to Find the GCF of 3984 and 3991?

Answer:

Greatest Common Factor of 3984 and 3991 = 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 3991

3991 = 13 x 307

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 3991 is 1