Greatest Common Factor of 3981 and 3987

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 3981, 3987 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3981 and 3987 is 3.

GCF(3981,3987) = 3

GCF of 3981 and 3987

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

GCF of:
and

Greatest Common Factor of 3981 and 3987

GCF of 3981 and 3987 is 3

Prime Factorization of 3981


3 3981
1327 1327
1

Prime factors of 3981 are 3,1327. Prime factorization of 3981 in exponential form is:

3981 = 31×13271

Prime Factorization of 3987


3 3987
3 1329
443 443
1

Prime factors of 3987 are 3,443. Prime factorization of 3987 in exponential form is:

3987 = 32×4431

∴ So by taking common prime factors GCF of 3981 and 3987 is 3

Greatest Common Factor of 3981 and 3987 by matching factors method

Factors of 3981

List of positive integer factors of 3981 that divides 3981 without a remainder.

1,3,1327,3981

Factors of 3987

List of positive integer factors of 3987 that divides 3987 without a remainder.

1,3,9,443,1329,3987

Greatest Common Factor

We found the factors and prime factorization of 3981 and 3987. The biggest common factor number is the GCF number.
So the greatest common factor 3981 and 3987 is 3.

Also check out the Least Common Multiple of 3981 and 3987

Properties of GCF 3981 and 3987

(i) The GCF of 3981 and 3987 is associative

GCF of 3981 and 3987 = GCF of 3987 and 3981

Related Greatest Common Factor of 3981

Related Greatest Common Factor of 3987

Frequently Asked Questions on GCF of 3981 and 3987

1. What is the GCF of 3981 and 3987?

Answer: GCF of 3981 and 3987 is 3.

2. What are the Factors of 3981?

Answer: Factors of 3981 are 1, 3, 1327, 3981. There are 4 integers that are factors of 3981. The greatest factor of 3981 is 3981.

3. What are the Factors of 3987?

Answer: Factors of 3987 are 1, 3, 9, 443, 1329, 3987. There are 6 integers that are factors of 3987. The greatest factor of 3987 is 3987.

4. How to Find the GCF of 3981 and 3987?

Answer:

Greatest Common Factor of 3981 and 3987 = 3

Step 1: Find the prime factorization of 3981

3981 = 3 x 1327

Step 2: Find the prime factorization of 3987

3987 = 3 x 3 x 443

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3981 and 3987 is 3