Greatest Common Factor of 36003 and 36010

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, 36010 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36003 and 36010 is 1.

GCF(36003,36010) = 1

GCF of 36003 and 36010

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

GCF of:
and

Greatest Common Factor of 36003 and 36010

GCF of 36003 and 36010 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 36010


2 36010
5 18005
13 3601
277 277
1

Prime factors of 36010 are 2,5,13,277. Prime factorization of 36010 in exponential form is:

36010 = 21×51×131×2771

∴ So by taking common prime factors GCF of 36003 and 36010 is 1

Greatest Common Factor of 36003 and 36010 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 36010

List of positive integer factors of 36010 that divides 36010 without a remainder.

1,2,5,10,13,26,65,130,277,554,1385,2770,3601,7202,18005,36010

Greatest Common Factor

We found the factors and prime factorization of 36003 and 36010. The biggest common factor number is the GCF number.
So the greatest common factor 36003 and 36010 is 1.

Also check out the Least Common Multiple of 36003 and 36010

Properties of GCF 36003 and 36010

(i) The GCF of 36003 and 36010 is associative

GCF of 36003 and 36010 = GCF of 36010 and 36003

Related Greatest Common Factor of 36003

Related Greatest Common Factor of 36010

Frequently Asked Questions on GCF of 36003 and 36010

1. What is the GCF of 36003 and 36010?

Answer: GCF of 36003 and 36010 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 36010?

Answer: Factors of 36010 are 1, 2, 5, 10, 13, 26, 65, 130, 277, 554, 1385, 2770, 3601, 7202, 18005, 36010. There are 16 integers that are factors of 36010. The greatest factor of 36010 is 36010.

4. How to Find the GCF of 36003 and 36010?

Answer:

Greatest Common Factor of 36003 and 36010 = 1

Step 1: Find the prime factorization of 36003

36003 = 3 x 11 x 1091

Step 2: Find the prime factorization of 36010

36010 = 2 x 5 x 13 x 277

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 36010 is 1