Greatest Common Factor of 4006 and 4014

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 4006, 4014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4006 and 4014 is 2.

GCF(4006,4014) = 2

GCF of 4006 and 4014

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

GCF of:
and

Greatest Common Factor of 4006 and 4014

GCF of 4006 and 4014 is 2

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

Prime Factorization of 4014


2 4014
3 2007
3 669
223 223
1

Prime factors of 4014 are 2,3,223. Prime factorization of 4014 in exponential form is:

4014 = 21×32×2231

∴ So by taking common prime factors GCF of 4006 and 4014 is 2

Greatest Common Factor of 4006 and 4014 by matching factors method

Factors of 4006

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

1,2,2003,4006

Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1,2,3,6,9,18,223,446,669,1338,2007,4014

Greatest Common Factor

We found the factors and prime factorization of 4006 and 4014. The biggest common factor number is the GCF number.
So the greatest common factor 4006 and 4014 is 2.

Also check out the Least Common Multiple of 4006 and 4014

Properties of GCF 4006 and 4014

(i) The GCF of 4006 and 4014 is associative

GCF of 4006 and 4014 = GCF of 4014 and 4006

Related Greatest Common Factor of 4006

Related Greatest Common Factor of 4014

Frequently Asked Questions on GCF of 4006 and 4014

1. What is the GCF of 4006 and 4014?

Answer: GCF of 4006 and 4014 is 2.

2. 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.

3. What are the Factors of 4014?

Answer: Factors of 4014 are 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014. There are 12 integers that are factors of 4014. The greatest factor of 4014 is 4014.

4. How to Find the GCF of 4006 and 4014?

Answer:

Greatest Common Factor of 4006 and 4014 = 2

Step 1: Find the prime factorization of 4006

4006 = 2 x 2003

Step 2: Find the prime factorization of 4014

4014 = 2 x 3 x 3 x 223

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 4006 and 4014 is 2