Greatest Common Factor of 36007 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 36007, 36012 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36007 and 36012 is 1.

GCF(36007,36012) = 1

GCF of 36007 and 36012

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

GCF of:
and

Greatest Common Factor of 36007 and 36012

GCF of 36007 and 36012 is 1

Prime Factorization of 36007


36007 36007
1

Prime factors of 36007 are 36007. Prime factorization of 36007 in exponential form is:

36007 = 360071

Prime Factorization of 36012


2 36012
2 18006
3 9003
3001 3001
1

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

36012 = 22×31×30011

∴ So by taking common prime factors GCF of 36007 and 36012 is 1

Greatest Common Factor of 36007 and 36012 by matching factors method

Factors of 36007

List of positive integer factors of 36007 that divides 36007 without a remainder.

1,36007

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 36007 and 36012. The biggest common factor number is the GCF number.
So the greatest common factor 36007 and 36012 is 1.

Also check out the Least Common Multiple of 36007 and 36012

Properties of GCF 36007 and 36012

(i) The GCF of 36007 and 36012 is associative

GCF of 36007 and 36012 = GCF of 36012 and 36007

Related Greatest Common Factor of 36007

Related Greatest Common Factor of 36012

Frequently Asked Questions on GCF of 36007 and 36012

1. What is the GCF of 36007 and 36012?

Answer: GCF of 36007 and 36012 is 1.

2. What are the Factors of 36007?

Answer: Factors of 36007 are 1, 36007. There are 2 integers that are factors of 36007. The greatest factor of 36007 is 36007.

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 36007 and 36012?

Answer:

Greatest Common Factor of 36007 and 36012 = 1

Step 1: Find the prime factorization of 36007

36007 = 36007

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 36007 and 36012 is 1