Greatest Common Factor of 36003 and 36004

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 36003, 36004 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36003 and 36004 is 1.

GCF(36003,36004) = 1

GCF of 36003 and 36004

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

GCF of:
and

Greatest Common Factor of 36003 and 36004

GCF of 36003 and 36004 is 1

Prime Factorization of 36003


3 36003
11 12001
1091 1091
1

Prime factors of 36003 are 3,11,1091. Prime factorization of 36003 in exponential form is:

36003 = 31×111×10911

Prime Factorization of 36004


2 36004
2 18002
9001 9001
1

Prime factors of 36004 are 2,9001. Prime factorization of 36004 in exponential form is:

36004 = 22×90011

∴ So by taking common prime factors GCF of 36003 and 36004 is 1

Greatest Common Factor of 36003 and 36004 by matching factors method

Factors of 36003

List of positive integer factors of 36003 that divides 36003 without a remainder.

1,3,11,33,1091,3273,12001,36003

Factors of 36004

List of positive integer factors of 36004 that divides 36004 without a remainder.

1,2,4,9001,18002,36004

Greatest Common Factor

We found the factors and prime factorization of 36003 and 36004. The biggest common factor number is the GCF number.
So the greatest common factor 36003 and 36004 is 1.

Also check out the Least Common Multiple of 36003 and 36004

Properties of GCF 36003 and 36004

(i) The GCF of 36003 and 36004 is associative

GCF of 36003 and 36004 = GCF of 36004 and 36003

Related Greatest Common Factor of 36003

Related Greatest Common Factor of 36004

Frequently Asked Questions on GCF of 36003 and 36004

1. What is the GCF of 36003 and 36004?

Answer: GCF of 36003 and 36004 is 1.

2. What are the Factors of 36003?

Answer: Factors of 36003 are 1, 3, 11, 33, 1091, 3273, 12001, 36003. There are 8 integers that are factors of 36003. The greatest factor of 36003 is 36003.

3. What are the Factors of 36004?

Answer: Factors of 36004 are 1, 2, 4, 9001, 18002, 36004. There are 6 integers that are factors of 36004. The greatest factor of 36004 is 36004.

4. How to Find the GCF of 36003 and 36004?

Answer:

Greatest Common Factor of 36003 and 36004 = 1

Step 1: Find the prime factorization of 36003

36003 = 3 x 11 x 1091

Step 2: Find the prime factorization of 36004

36004 = 2 x 2 x 9001

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 36003 and 36004 is 1