Greatest Common Factor of 36315 and 36321

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 36315, 36321 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36315 and 36321 is 3.

GCF(36315,36321) = 3

GCF of 36315 and 36321

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

GCF of:
and

Greatest Common Factor of 36315 and 36321

GCF of 36315 and 36321 is 3

Prime Factorization of 36315


3 36315
3 12105
3 4035
5 1345
269 269
1

Prime factors of 36315 are 3,5,269. Prime factorization of 36315 in exponential form is:

36315 = 33×51×2691

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

∴ So by taking common prime factors GCF of 36315 and 36321 is 3

Greatest Common Factor of 36315 and 36321 by matching factors method

Factors of 36315

List of positive integer factors of 36315 that divides 36315 without a remainder.

1,3,5,9,15,27,45,135,269,807,1345,2421,4035,7263,12105,36315

Factors of 36321

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

1,3,12107,36321

Greatest Common Factor

We found the factors and prime factorization of 36315 and 36321. The biggest common factor number is the GCF number.
So the greatest common factor 36315 and 36321 is 3.

Also check out the Least Common Multiple of 36315 and 36321

Properties of GCF 36315 and 36321

(i) The GCF of 36315 and 36321 is associative

GCF of 36315 and 36321 = GCF of 36321 and 36315

Related Greatest Common Factor of 36315

Related Greatest Common Factor of 36321

Frequently Asked Questions on GCF of 36315 and 36321

1. What is the GCF of 36315 and 36321?

Answer: GCF of 36315 and 36321 is 3.

2. What are the Factors of 36315?

Answer: Factors of 36315 are 1, 3, 5, 9, 15, 27, 45, 135, 269, 807, 1345, 2421, 4035, 7263, 12105, 36315. There are 16 integers that are factors of 36315. The greatest factor of 36315 is 36315.

3. 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.

4. How to Find the GCF of 36315 and 36321?

Answer:

Greatest Common Factor of 36315 and 36321 = 3

Step 1: Find the prime factorization of 36315

36315 = 3 x 3 x 3 x 5 x 269

Step 2: Find the prime factorization of 36321

36321 = 3 x 12107

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 36315 and 36321 is 3