Greatest Common Factor of 4009 and 4015

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, 4015 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4009 and 4015 is 1.

GCF(4009,4015) = 1

GCF of 4009 and 4015

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

GCF of:
and

Greatest Common Factor of 4009 and 4015

GCF of 4009 and 4015 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 4015


5 4015
11 803
73 73
1

Prime factors of 4015 are 5,11,73. Prime factorization of 4015 in exponential form is:

4015 = 51×111×731

∴ So by taking common prime factors GCF of 4009 and 4015 is 1

Greatest Common Factor of 4009 and 4015 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 4015

List of positive integer factors of 4015 that divides 4015 without a remainder.

1,5,11,55,73,365,803,4015

Greatest Common Factor

We found the factors and prime factorization of 4009 and 4015. The biggest common factor number is the GCF number.
So the greatest common factor 4009 and 4015 is 1.

Also check out the Least Common Multiple of 4009 and 4015

Properties of GCF 4009 and 4015

(i) The GCF of 4009 and 4015 is associative

GCF of 4009 and 4015 = GCF of 4015 and 4009

Related Greatest Common Factor of 4009

Related Greatest Common Factor of 4015

Frequently Asked Questions on GCF of 4009 and 4015

1. What is the GCF of 4009 and 4015?

Answer: GCF of 4009 and 4015 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 4015?

Answer: Factors of 4015 are 1, 5, 11, 55, 73, 365, 803, 4015. There are 8 integers that are factors of 4015. The greatest factor of 4015 is 4015.

4. How to Find the GCF of 4009 and 4015?

Answer:

Greatest Common Factor of 4009 and 4015 = 1

Step 1: Find the prime factorization of 4009

4009 = 19 x 211

Step 2: Find the prime factorization of 4015

4015 = 5 x 11 x 73

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 4015 is 1