Greatest Common Factor of 3998 and 4004

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, 4004 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3998 and 4004 is 2.

GCF(3998,4004) = 2

GCF of 3998 and 4004

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

GCF of:
and

Greatest Common Factor of 3998 and 4004

GCF of 3998 and 4004 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 4004


2 4004
2 2002
7 1001
11 143
13 13
1

Prime factors of 4004 are 2,7,11,13. Prime factorization of 4004 in exponential form is:

4004 = 22×71×111×131

∴ So by taking common prime factors GCF of 3998 and 4004 is 2

Greatest Common Factor of 3998 and 4004 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 4004

List of positive integer factors of 4004 that divides 4004 without a remainder.

1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004

Greatest Common Factor

We found the factors and prime factorization of 3998 and 4004. The biggest common factor number is the GCF number.
So the greatest common factor 3998 and 4004 is 2.

Also check out the Least Common Multiple of 3998 and 4004

Properties of GCF 3998 and 4004

(i) The GCF of 3998 and 4004 is associative

GCF of 3998 and 4004 = GCF of 4004 and 3998

Related Greatest Common Factor of 3998

Related Greatest Common Factor of 4004

Frequently Asked Questions on GCF of 3998 and 4004

1. What is the GCF of 3998 and 4004?

Answer: GCF of 3998 and 4004 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 4004?

Answer: Factors of 4004 are 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004. There are 24 integers that are factors of 4004. The greatest factor of 4004 is 4004.

4. How to Find the GCF of 3998 and 4004?

Answer:

Greatest Common Factor of 3998 and 4004 = 2

Step 1: Find the prime factorization of 3998

3998 = 2 x 1999

Step 2: Find the prime factorization of 4004

4004 = 2 x 2 x 7 x 11 x 13

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 4004 is 2