Greatest Common Factor of 36005 and 36012

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 36005, 36012 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36005 and 36012 is 1.

GCF(36005,36012) = 1

GCF of 36005 and 36012

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

GCF of:
and

Greatest Common Factor of 36005 and 36012

GCF of 36005 and 36012 is 1

Prime Factorization of 36005


5 36005
19 7201
379 379
1

Prime factors of 36005 are 5,19,379. Prime factorization of 36005 in exponential form is:

36005 = 51×191×3791

Prime Factorization of 36012


2 36012
2 18006
3 9003
3001 3001
1

Prime factors of 36012 are 2,3,3001. Prime factorization of 36012 in exponential form is:

36012 = 22×31×30011

∴ So by taking common prime factors GCF of 36005 and 36012 is 1

Greatest Common Factor of 36005 and 36012 by matching factors method

Factors of 36005

List of positive integer factors of 36005 that divides 36005 without a remainder.

1,5,19,95,379,1895,7201,36005

Factors of 36012

List of positive integer factors of 36012 that divides 36012 without a remainder.

1,2,3,4,6,12,3001,6002,9003,12004,18006,36012

Greatest Common Factor

We found the factors and prime factorization of 36005 and 36012. The biggest common factor number is the GCF number.
So the greatest common factor 36005 and 36012 is 1.

Also check out the Least Common Multiple of 36005 and 36012

Properties of GCF 36005 and 36012

(i) The GCF of 36005 and 36012 is associative

GCF of 36005 and 36012 = GCF of 36012 and 36005

Related Greatest Common Factor of 36005

Related Greatest Common Factor of 36012

Frequently Asked Questions on GCF of 36005 and 36012

1. What is the GCF of 36005 and 36012?

Answer: GCF of 36005 and 36012 is 1.

2. What are the Factors of 36005?

Answer: Factors of 36005 are 1, 5, 19, 95, 379, 1895, 7201, 36005. There are 8 integers that are factors of 36005. The greatest factor of 36005 is 36005.

3. What are the Factors of 36012?

Answer: Factors of 36012 are 1, 2, 3, 4, 6, 12, 3001, 6002, 9003, 12004, 18006, 36012. There are 12 integers that are factors of 36012. The greatest factor of 36012 is 36012.

4. How to Find the GCF of 36005 and 36012?

Answer:

Greatest Common Factor of 36005 and 36012 = 1

Step 1: Find the prime factorization of 36005

36005 = 5 x 19 x 379

Step 2: Find the prime factorization of 36012

36012 = 2 x 2 x 3 x 3001

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 36005 and 36012 is 1