Greatest Common Factor of 4002 and 4010

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, 4010 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4002 and 4010 is 2.

GCF(4002,4010) = 2

GCF of 4002 and 4010

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

GCF of:
and

Greatest Common Factor of 4002 and 4010

GCF of 4002 and 4010 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 4010


2 4010
5 2005
401 401
1

Prime factors of 4010 are 2,5,401. Prime factorization of 4010 in exponential form is:

4010 = 21×51×4011

∴ So by taking common prime factors GCF of 4002 and 4010 is 2

Greatest Common Factor of 4002 and 4010 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 4010

List of positive integer factors of 4010 that divides 4010 without a remainder.

1,2,5,10,401,802,2005,4010

Greatest Common Factor

We found the factors and prime factorization of 4002 and 4010. The biggest common factor number is the GCF number.
So the greatest common factor 4002 and 4010 is 2.

Also check out the Least Common Multiple of 4002 and 4010

Properties of GCF 4002 and 4010

(i) The GCF of 4002 and 4010 is associative

GCF of 4002 and 4010 = GCF of 4010 and 4002

Related Greatest Common Factor of 4002

Related Greatest Common Factor of 4010

Frequently Asked Questions on GCF of 4002 and 4010

1. What is the GCF of 4002 and 4010?

Answer: GCF of 4002 and 4010 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 4010?

Answer: Factors of 4010 are 1, 2, 5, 10, 401, 802, 2005, 4010. There are 8 integers that are factors of 4010. The greatest factor of 4010 is 4010.

4. How to Find the GCF of 4002 and 4010?

Answer:

Greatest Common Factor of 4002 and 4010 = 2

Step 1: Find the prime factorization of 4002

4002 = 2 x 3 x 23 x 29

Step 2: Find the prime factorization of 4010

4010 = 2 x 5 x 401

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 4010 is 2