Greatest Common Factor of 4005 and 4013

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 4005, 4013 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4005 and 4013 is 1.

GCF(4005,4013) = 1

GCF of 4005 and 4013

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

GCF of:
and

Greatest Common Factor of 4005 and 4013

GCF of 4005 and 4013 is 1

Prime Factorization of 4005


3 4005
3 1335
5 445
89 89
1

Prime factors of 4005 are 3,5,89. Prime factorization of 4005 in exponential form is:

4005 = 32×51×891

Prime Factorization of 4013


4013 4013
1

Prime factors of 4013 are 4013. Prime factorization of 4013 in exponential form is:

4013 = 40131

∴ So by taking common prime factors GCF of 4005 and 4013 is 1

Greatest Common Factor of 4005 and 4013 by matching factors method

Factors of 4005

List of positive integer factors of 4005 that divides 4005 without a remainder.

1,3,5,9,15,45,89,267,445,801,1335,4005

Factors of 4013

List of positive integer factors of 4013 that divides 4013 without a remainder.

1,4013

Greatest Common Factor

We found the factors and prime factorization of 4005 and 4013. The biggest common factor number is the GCF number.
So the greatest common factor 4005 and 4013 is 1.

Also check out the Least Common Multiple of 4005 and 4013

Properties of GCF 4005 and 4013

(i) The GCF of 4005 and 4013 is associative

GCF of 4005 and 4013 = GCF of 4013 and 4005

Related Greatest Common Factor of 4005

Related Greatest Common Factor of 4013

Frequently Asked Questions on GCF of 4005 and 4013

1. What is the GCF of 4005 and 4013?

Answer: GCF of 4005 and 4013 is 1.

2. What are the Factors of 4005?

Answer: Factors of 4005 are 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005. There are 12 integers that are factors of 4005. The greatest factor of 4005 is 4005.

3. What are the Factors of 4013?

Answer: Factors of 4013 are 1, 4013. There are 2 integers that are factors of 4013. The greatest factor of 4013 is 4013.

4. How to Find the GCF of 4005 and 4013?

Answer:

Greatest Common Factor of 4005 and 4013 = 1

Step 1: Find the prime factorization of 4005

4005 = 3 x 3 x 5 x 89

Step 2: Find the prime factorization of 4013

4013 = 4013

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 4005 and 4013 is 1