Greatest Common Factor of 4014 and 4016

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, 4016 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4014 and 4016 is 2.

GCF(4014,4016) = 2

GCF of 4014 and 4016

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

GCF of:
and

Greatest Common Factor of 4014 and 4016

GCF of 4014 and 4016 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 4016


2 4016
2 2008
2 1004
2 502
251 251
1

Prime factors of 4016 are 2,251. Prime factorization of 4016 in exponential form is:

4016 = 24×2511

∴ So by taking common prime factors GCF of 4014 and 4016 is 2

Greatest Common Factor of 4014 and 4016 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 4016

List of positive integer factors of 4016 that divides 4016 without a remainder.

1,2,4,8,16,251,502,1004,2008,4016

Greatest Common Factor

We found the factors and prime factorization of 4014 and 4016. The biggest common factor number is the GCF number.
So the greatest common factor 4014 and 4016 is 2.

Also check out the Least Common Multiple of 4014 and 4016

Properties of GCF 4014 and 4016

(i) The GCF of 4014 and 4016 is associative

GCF of 4014 and 4016 = GCF of 4016 and 4014

Related Greatest Common Factor of 4014

Related Greatest Common Factor of 4016

Frequently Asked Questions on GCF of 4014 and 4016

1. What is the GCF of 4014 and 4016?

Answer: GCF of 4014 and 4016 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 4016?

Answer: Factors of 4016 are 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016. There are 10 integers that are factors of 4016. The greatest factor of 4016 is 4016.

4. How to Find the GCF of 4014 and 4016?

Answer:

Greatest Common Factor of 4014 and 4016 = 2

Step 1: Find the prime factorization of 4014

4014 = 2 x 3 x 3 x 223

Step 2: Find the prime factorization of 4016

4016 = 2 x 2 x 2 x 2 x 251

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 4016 is 2