Greatest Common Factor of 4009 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 4009, 4014 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4009 and 4014 is 1.

GCF(4009,4014) = 1

GCF of 4009 and 4014

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

GCF of:
and

Greatest Common Factor of 4009 and 4014

GCF of 4009 and 4014 is 1

Prime Factorization of 4009


19 4009
211 211
1

Prime factors of 4009 are 19,211. Prime factorization of 4009 in exponential form is:

4009 = 191×2111

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 4009 and 4014 is 1

Greatest Common Factor of 4009 and 4014 by matching factors method

Factors of 4009

List of positive integer factors of 4009 that divides 4009 without a remainder.

1,19,211,4009

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 4009 and 4014. The biggest common factor number is the GCF number.
So the greatest common factor 4009 and 4014 is 1.

Also check out the Least Common Multiple of 4009 and 4014

Properties of GCF 4009 and 4014

(i) The GCF of 4009 and 4014 is associative

GCF of 4009 and 4014 = GCF of 4014 and 4009

Related Greatest Common Factor of 4009

Related Greatest Common Factor of 4014

Frequently Asked Questions on GCF of 4009 and 4014

1. What is the GCF of 4009 and 4014?

Answer: GCF of 4009 and 4014 is 1.

2. What are the Factors of 4009?

Answer: Factors of 4009 are 1, 19, 211, 4009. There are 4 integers that are factors of 4009. The greatest factor of 4009 is 4009.

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 4009 and 4014?

Answer:

Greatest Common Factor of 4009 and 4014 = 1

Step 1: Find the prime factorization of 4009

4009 = 19 x 211

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 = = 1

Step 4: Therefore, the greatest common factor of 4009 and 4014 is 1