Greatest Common Factor of 36315 and 36320

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, 36320 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36315 and 36320 is 5.

GCF(36315,36320) = 5

GCF of 36315 and 36320

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

GCF of:
and

Greatest Common Factor of 36315 and 36320

GCF of 36315 and 36320 is 5

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 36320


2 36320
2 18160
2 9080
2 4540
2 2270
5 1135
227 227
1

Prime factors of 36320 are 2,5,227. Prime factorization of 36320 in exponential form is:

36320 = 25×51×2271

∴ So by taking common prime factors GCF of 36315 and 36320 is 5

Greatest Common Factor of 36315 and 36320 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 36320

List of positive integer factors of 36320 that divides 36320 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160,227,454,908,1135,1816,2270,3632,4540,7264,9080,18160,36320

Greatest Common Factor

We found the factors and prime factorization of 36315 and 36320. The biggest common factor number is the GCF number.
So the greatest common factor 36315 and 36320 is 5.

Also check out the Least Common Multiple of 36315 and 36320

Properties of GCF 36315 and 36320

(i) The GCF of 36315 and 36320 is associative

GCF of 36315 and 36320 = GCF of 36320 and 36315

Related Greatest Common Factor of 36315

Related Greatest Common Factor of 36320

Frequently Asked Questions on GCF of 36315 and 36320

1. What is the GCF of 36315 and 36320?

Answer: GCF of 36315 and 36320 is 5.

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 36320?

Answer: Factors of 36320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 227, 454, 908, 1135, 1816, 2270, 3632, 4540, 7264, 9080, 18160, 36320. There are 24 integers that are factors of 36320. The greatest factor of 36320 is 36320.

4. How to Find the GCF of 36315 and 36320?

Answer:

Greatest Common Factor of 36315 and 36320 = 5

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 36320

36320 = 2 x 2 x 2 x 2 x 2 x 5 x 227

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

GCF = 5

Step 4: Therefore, the greatest common factor of 36315 and 36320 is 5