Greatest Common Factor of 4002 and 4006

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 4002, 4006 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4002 and 4006 is 2.

GCF(4002,4006) = 2

GCF of 4002 and 4006

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

GCF of:
and

Greatest Common Factor of 4002 and 4006

GCF of 4002 and 4006 is 2

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

Prime Factorization of 4006


2 4006
2003 2003
1

Prime factors of 4006 are 2,2003. Prime factorization of 4006 in exponential form is:

4006 = 21×20031

∴ So by taking common prime factors GCF of 4002 and 4006 is 2

Greatest Common Factor of 4002 and 4006 by matching factors method

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

Factors of 4006

List of positive integer factors of 4006 that divides 4006 without a remainder.

1,2,2003,4006

Greatest Common Factor

We found the factors and prime factorization of 4002 and 4006. The biggest common factor number is the GCF number.
So the greatest common factor 4002 and 4006 is 2.

Also check out the Least Common Multiple of 4002 and 4006

Properties of GCF 4002 and 4006

(i) The GCF of 4002 and 4006 is associative

GCF of 4002 and 4006 = GCF of 4006 and 4002

Related Greatest Common Factor of 4002

Related Greatest Common Factor of 4006

Frequently Asked Questions on GCF of 4002 and 4006

1. What is the GCF of 4002 and 4006?

Answer: GCF of 4002 and 4006 is 2.

2. 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.

3. What are the Factors of 4006?

Answer: Factors of 4006 are 1, 2, 2003, 4006. There are 4 integers that are factors of 4006. The greatest factor of 4006 is 4006.

4. How to Find the GCF of 4002 and 4006?

Answer:

Greatest Common Factor of 4002 and 4006 = 2

Step 1: Find the prime factorization of 4002

4002 = 2 x 3 x 23 x 29

Step 2: Find the prime factorization of 4006

4006 = 2 x 2003

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 4002 and 4006 is 2