Greatest Common Factor of 3994 and 4002

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 3994, 4002 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3994 and 4002 is 2.

GCF(3994,4002) = 2

GCF of 3994 and 4002

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

GCF of:
and

Greatest Common Factor of 3994 and 4002

GCF of 3994 and 4002 is 2

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

Prime Factorization of 4002


2 4002
3 2001
23 667
29 29
1

Prime factors of 4002 are 2,3,23,29. Prime factorization of 4002 in exponential form is:

4002 = 21×31×231×291

∴ So by taking common prime factors GCF of 3994 and 4002 is 2

Greatest Common Factor of 3994 and 4002 by matching factors method

Factors of 3994

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

1,2,1997,3994

Factors of 4002

List of positive integer factors of 4002 that divides 4002 without a remainder.

1,2,3,6,23,29,46,58,69,87,138,174,667,1334,2001,4002

Greatest Common Factor

We found the factors and prime factorization of 3994 and 4002. The biggest common factor number is the GCF number.
So the greatest common factor 3994 and 4002 is 2.

Also check out the Least Common Multiple of 3994 and 4002

Properties of GCF 3994 and 4002

(i) The GCF of 3994 and 4002 is associative

GCF of 3994 and 4002 = GCF of 4002 and 3994

Related Greatest Common Factor of 3994

Related Greatest Common Factor of 4002

Frequently Asked Questions on GCF of 3994 and 4002

1. What is the GCF of 3994 and 4002?

Answer: GCF of 3994 and 4002 is 2.

2. 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.

3. What are the Factors of 4002?

Answer: Factors of 4002 are 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002. There are 16 integers that are factors of 4002. The greatest factor of 4002 is 4002.

4. How to Find the GCF of 3994 and 4002?

Answer:

Greatest Common Factor of 3994 and 4002 = 2

Step 1: Find the prime factorization of 3994

3994 = 2 x 1997

Step 2: Find the prime factorization of 4002

4002 = 2 x 3 x 23 x 29

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 3994 and 4002 is 2