Greatest Common Factor of 4005 and 4011

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, 4011 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4005 and 4011 is 3.

GCF(4005,4011) = 3

GCF of 4005 and 4011

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

GCF of:
and

Greatest Common Factor of 4005 and 4011

GCF of 4005 and 4011 is 3

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 4011


3 4011
7 1337
191 191
1

Prime factors of 4011 are 3,7,191. Prime factorization of 4011 in exponential form is:

4011 = 31×71×1911

∴ So by taking common prime factors GCF of 4005 and 4011 is 3

Greatest Common Factor of 4005 and 4011 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 4011

List of positive integer factors of 4011 that divides 4011 without a remainder.

1,3,7,21,191,573,1337,4011

Greatest Common Factor

We found the factors and prime factorization of 4005 and 4011. The biggest common factor number is the GCF number.
So the greatest common factor 4005 and 4011 is 3.

Also check out the Least Common Multiple of 4005 and 4011

Properties of GCF 4005 and 4011

(i) The GCF of 4005 and 4011 is associative

GCF of 4005 and 4011 = GCF of 4011 and 4005

Related Greatest Common Factor of 4005

Related Greatest Common Factor of 4011

Frequently Asked Questions on GCF of 4005 and 4011

1. What is the GCF of 4005 and 4011?

Answer: GCF of 4005 and 4011 is 3.

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 4011?

Answer: Factors of 4011 are 1, 3, 7, 21, 191, 573, 1337, 4011. There are 8 integers that are factors of 4011. The greatest factor of 4011 is 4011.

4. How to Find the GCF of 4005 and 4011?

Answer:

Greatest Common Factor of 4005 and 4011 = 3

Step 1: Find the prime factorization of 4005

4005 = 3 x 3 x 5 x 89

Step 2: Find the prime factorization of 4011

4011 = 3 x 7 x 191

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 4005 and 4011 is 3