Greatest Common Factor of 36001 and 36003

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 36001, 36003 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36001 and 36003 is 1.

GCF(36001,36003) = 1

GCF of 36001 and 36003

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

GCF of:
and

Greatest Common Factor of 36001 and 36003

GCF of 36001 and 36003 is 1

Prime Factorization of 36001


7 36001
37 5143
139 139
1

Prime factors of 36001 are 7,37,139. Prime factorization of 36001 in exponential form is:

36001 = 71×371×1391

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

∴ So by taking common prime factors GCF of 36001 and 36003 is 1

Greatest Common Factor of 36001 and 36003 by matching factors method

Factors of 36001

List of positive integer factors of 36001 that divides 36001 without a remainder.

1,7,37,139,259,973,5143,36001

Factors of 36003

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

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

Greatest Common Factor

We found the factors and prime factorization of 36001 and 36003. The biggest common factor number is the GCF number.
So the greatest common factor 36001 and 36003 is 1.

Also check out the Least Common Multiple of 36001 and 36003

Properties of GCF 36001 and 36003

(i) The GCF of 36001 and 36003 is associative

GCF of 36001 and 36003 = GCF of 36003 and 36001

Related Greatest Common Factor of 36001

Related Greatest Common Factor of 36003

Frequently Asked Questions on GCF of 36001 and 36003

1. What is the GCF of 36001 and 36003?

Answer: GCF of 36001 and 36003 is 1.

2. What are the Factors of 36001?

Answer: Factors of 36001 are 1, 7, 37, 139, 259, 973, 5143, 36001. There are 8 integers that are factors of 36001. The greatest factor of 36001 is 36001.

3. 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.

4. How to Find the GCF of 36001 and 36003?

Answer:

Greatest Common Factor of 36001 and 36003 = 1

Step 1: Find the prime factorization of 36001

36001 = 7 x 37 x 139

Step 2: Find the prime factorization of 36003

36003 = 3 x 11 x 1091

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 36001 and 36003 is 1