Greatest Common Factor of 3998 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 3998, 4002 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3998 and 4002 is 2.

GCF(3998,4002) = 2

GCF of 3998 and 4002

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

GCF of:
and

Greatest Common Factor of 3998 and 4002

GCF of 3998 and 4002 is 2

Prime Factorization of 3998


2 3998
1999 1999
1

Prime factors of 3998 are 2,1999. Prime factorization of 3998 in exponential form is:

3998 = 21×19991

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 3998 and 4002 is 2

Greatest Common Factor of 3998 and 4002 by matching factors method

Factors of 3998

List of positive integer factors of 3998 that divides 3998 without a remainder.

1,2,1999,3998

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 3998 and 4002. The biggest common factor number is the GCF number.
So the greatest common factor 3998 and 4002 is 2.

Also check out the Least Common Multiple of 3998 and 4002

Properties of GCF 3998 and 4002

(i) The GCF of 3998 and 4002 is associative

GCF of 3998 and 4002 = GCF of 4002 and 3998

Related Greatest Common Factor of 3998

Related Greatest Common Factor of 4002

Frequently Asked Questions on GCF of 3998 and 4002

1. What is the GCF of 3998 and 4002?

Answer: GCF of 3998 and 4002 is 2.

2. What are the Factors of 3998?

Answer: Factors of 3998 are 1, 2, 1999, 3998. There are 4 integers that are factors of 3998. The greatest factor of 3998 is 3998.

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 3998 and 4002?

Answer:

Greatest Common Factor of 3998 and 4002 = 2

Step 1: Find the prime factorization of 3998

3998 = 2 x 1999

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 3998 and 4002 is 2