Greatest Common Factor of 3987 and 3990

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 3987, 3990 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3987 and 3990 is 3.

GCF(3987,3990) = 3

GCF of 3987 and 3990

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

GCF of:
and

Greatest Common Factor of 3987 and 3990

GCF of 3987 and 3990 is 3

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

Prime Factorization of 3990


2 3990
3 1995
5 665
7 133
19 19
1

Prime factors of 3990 are 2,3,5,7,19. Prime factorization of 3990 in exponential form is:

3990 = 21×31×51×71×191

∴ So by taking common prime factors GCF of 3987 and 3990 is 3

Greatest Common Factor of 3987 and 3990 by matching factors method

Factors of 3987

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

1,3,9,443,1329,3987

Factors of 3990

List of positive integer factors of 3990 that divides 3990 without a remainder.

1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990

Greatest Common Factor

We found the factors and prime factorization of 3987 and 3990. The biggest common factor number is the GCF number.
So the greatest common factor 3987 and 3990 is 3.

Also check out the Least Common Multiple of 3987 and 3990

Properties of GCF 3987 and 3990

(i) The GCF of 3987 and 3990 is associative

GCF of 3987 and 3990 = GCF of 3990 and 3987

Related Greatest Common Factor of 3987

Related Greatest Common Factor of 3990

Frequently Asked Questions on GCF of 3987 and 3990

1. What is the GCF of 3987 and 3990?

Answer: GCF of 3987 and 3990 is 3.

2. 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.

3. What are the Factors of 3990?

Answer: Factors of 3990 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990. There are 32 integers that are factors of 3990. The greatest factor of 3990 is 3990.

4. How to Find the GCF of 3987 and 3990?

Answer:

Greatest Common Factor of 3987 and 3990 = 3

Step 1: Find the prime factorization of 3987

3987 = 3 x 3 x 443

Step 2: Find the prime factorization of 3990

3990 = 2 x 3 x 5 x 7 x 19

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 3987 and 3990 is 3