Greatest Common Factor of 36321 and 36329

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 36321, 36329 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36321 and 36329 is 1.

GCF(36321,36329) = 1

GCF of 36321 and 36329

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

GCF of:
and

Greatest Common Factor of 36321 and 36329

GCF of 36321 and 36329 is 1

Prime Factorization of 36321


3 36321
12107 12107
1

Prime factors of 36321 are 3,12107. Prime factorization of 36321 in exponential form is:

36321 = 31×121071

Prime Factorization of 36329


17 36329
2137 2137
1

Prime factors of 36329 are 17,2137. Prime factorization of 36329 in exponential form is:

36329 = 171×21371

∴ So by taking common prime factors GCF of 36321 and 36329 is 1

Greatest Common Factor of 36321 and 36329 by matching factors method

Factors of 36321

List of positive integer factors of 36321 that divides 36321 without a remainder.

1,3,12107,36321

Factors of 36329

List of positive integer factors of 36329 that divides 36329 without a remainder.

1,17,2137,36329

Greatest Common Factor

We found the factors and prime factorization of 36321 and 36329. The biggest common factor number is the GCF number.
So the greatest common factor 36321 and 36329 is 1.

Also check out the Least Common Multiple of 36321 and 36329

Properties of GCF 36321 and 36329

(i) The GCF of 36321 and 36329 is associative

GCF of 36321 and 36329 = GCF of 36329 and 36321

Frequently Asked Questions on GCF of 36321 and 36329

1. What is the GCF of 36321 and 36329?

Answer: GCF of 36321 and 36329 is 1.

2. What are the Factors of 36321?

Answer: Factors of 36321 are 1, 3, 12107, 36321. There are 4 integers that are factors of 36321. The greatest factor of 36321 is 36321.

3. What are the Factors of 36329?

Answer: Factors of 36329 are 1, 17, 2137, 36329. There are 4 integers that are factors of 36329. The greatest factor of 36329 is 36329.

4. How to Find the GCF of 36321 and 36329?

Answer:

Greatest Common Factor of 36321 and 36329 = 1

Step 1: Find the prime factorization of 36321

36321 = 3 x 12107

Step 2: Find the prime factorization of 36329

36329 = 17 x 2137

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 36321 and 36329 is 1