Greatest Common Factor of 3990 and 3994

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 3990, 3994 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3990 and 3994 is 2.

GCF(3990,3994) = 2

GCF of 3990 and 3994

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

GCF of:
and

Greatest Common Factor of 3990 and 3994

GCF of 3990 and 3994 is 2

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

Prime Factorization of 3994


2 3994
1997 1997
1

Prime factors of 3994 are 2,1997. Prime factorization of 3994 in exponential form is:

3994 = 21×19971

∴ So by taking common prime factors GCF of 3990 and 3994 is 2

Greatest Common Factor of 3990 and 3994 by matching factors method

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

Factors of 3994

List of positive integer factors of 3994 that divides 3994 without a remainder.

1,2,1997,3994

Greatest Common Factor

We found the factors and prime factorization of 3990 and 3994. The biggest common factor number is the GCF number.
So the greatest common factor 3990 and 3994 is 2.

Also check out the Least Common Multiple of 3990 and 3994

Properties of GCF 3990 and 3994

(i) The GCF of 3990 and 3994 is associative

GCF of 3990 and 3994 = GCF of 3994 and 3990

Related Greatest Common Factor of 3990

Related Greatest Common Factor of 3994

Frequently Asked Questions on GCF of 3990 and 3994

1. What is the GCF of 3990 and 3994?

Answer: GCF of 3990 and 3994 is 2.

2. 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.

3. What are the Factors of 3994?

Answer: Factors of 3994 are 1, 2, 1997, 3994. There are 4 integers that are factors of 3994. The greatest factor of 3994 is 3994.

4. How to Find the GCF of 3990 and 3994?

Answer:

Greatest Common Factor of 3990 and 3994 = 2

Step 1: Find the prime factorization of 3990

3990 = 2 x 3 x 5 x 7 x 19

Step 2: Find the prime factorization of 3994

3994 = 2 x 1997

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3990 and 3994 is 2