Greatest Common Factor of 3987 and 3993

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, 3993 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3987 and 3993 is 3.

GCF(3987,3993) = 3

GCF of 3987 and 3993

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

GCF of:
and

Greatest Common Factor of 3987 and 3993

GCF of 3987 and 3993 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 3993


3 3993
11 1331
11 121
11 11
1

Prime factors of 3993 are 3,11. Prime factorization of 3993 in exponential form is:

3993 = 31×113

∴ So by taking common prime factors GCF of 3987 and 3993 is 3

Greatest Common Factor of 3987 and 3993 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 3993

List of positive integer factors of 3993 that divides 3993 without a remainder.

1,3,11,33,121,363,1331,3993

Greatest Common Factor

We found the factors and prime factorization of 3987 and 3993. The biggest common factor number is the GCF number.
So the greatest common factor 3987 and 3993 is 3.

Also check out the Least Common Multiple of 3987 and 3993

Properties of GCF 3987 and 3993

(i) The GCF of 3987 and 3993 is associative

GCF of 3987 and 3993 = GCF of 3993 and 3987

Related Greatest Common Factor of 3987

Related Greatest Common Factor of 3993

Frequently Asked Questions on GCF of 3987 and 3993

1. What is the GCF of 3987 and 3993?

Answer: GCF of 3987 and 3993 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 3993?

Answer: Factors of 3993 are 1, 3, 11, 33, 121, 363, 1331, 3993. There are 8 integers that are factors of 3993. The greatest factor of 3993 is 3993.

4. How to Find the GCF of 3987 and 3993?

Answer:

Greatest Common Factor of 3987 and 3993 = 3

Step 1: Find the prime factorization of 3987

3987 = 3 x 3 x 443

Step 2: Find the prime factorization of 3993

3993 = 3 x 11 x 11 x 11

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 3993 is 3