Greatest Common Factor of 4014 and 4018

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 4014, 4018 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4014 and 4018 is 2.

GCF(4014,4018) = 2

GCF of 4014 and 4018

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

GCF of:
and

Greatest Common Factor of 4014 and 4018

GCF of 4014 and 4018 is 2

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

Prime Factorization of 4018


2 4018
7 2009
7 287
41 41
1

Prime factors of 4018 are 2,7,41. Prime factorization of 4018 in exponential form is:

4018 = 21×72×411

∴ So by taking common prime factors GCF of 4014 and 4018 is 2

Greatest Common Factor of 4014 and 4018 by matching factors method

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

Factors of 4018

List of positive integer factors of 4018 that divides 4018 without a remainder.

1,2,7,14,41,49,82,98,287,574,2009,4018

Greatest Common Factor

We found the factors and prime factorization of 4014 and 4018. The biggest common factor number is the GCF number.
So the greatest common factor 4014 and 4018 is 2.

Also check out the Least Common Multiple of 4014 and 4018

Properties of GCF 4014 and 4018

(i) The GCF of 4014 and 4018 is associative

GCF of 4014 and 4018 = GCF of 4018 and 4014

Related Greatest Common Factor of 4014

Related Greatest Common Factor of 4018

Frequently Asked Questions on GCF of 4014 and 4018

1. What is the GCF of 4014 and 4018?

Answer: GCF of 4014 and 4018 is 2.

2. 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.

3. What are the Factors of 4018?

Answer: Factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018. There are 12 integers that are factors of 4018. The greatest factor of 4018 is 4018.

4. How to Find the GCF of 4014 and 4018?

Answer:

Greatest Common Factor of 4014 and 4018 = 2

Step 1: Find the prime factorization of 4014

4014 = 2 x 3 x 3 x 223

Step 2: Find the prime factorization of 4018

4018 = 2 x 7 x 7 x 41

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 4014 and 4018 is 2