Greatest Common Factor of 36320 and 36324

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 36320, 36324 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36320 and 36324 is 4.

GCF(36320,36324) = 4

GCF of 36320 and 36324

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

GCF of:
and

Greatest Common Factor of 36320 and 36324

GCF of 36320 and 36324 is 4

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

Prime Factorization of 36324


2 36324
2 18162
3 9081
3 3027
1009 1009
1

Prime factors of 36324 are 2,3,1009. Prime factorization of 36324 in exponential form is:

36324 = 22×32×10091

∴ So by taking common prime factors GCF of 36320 and 36324 is 4

Greatest Common Factor of 36320 and 36324 by matching factors method

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

Factors of 36324

List of positive integer factors of 36324 that divides 36324 without a remainder.

1,2,3,4,6,9,12,18,36,1009,2018,3027,4036,6054,9081,12108,18162,36324

Greatest Common Factor

We found the factors and prime factorization of 36320 and 36324. The biggest common factor number is the GCF number.
So the greatest common factor 36320 and 36324 is 4.

Also check out the Least Common Multiple of 36320 and 36324

Properties of GCF 36320 and 36324

(i) The GCF of 36320 and 36324 is associative

GCF of 36320 and 36324 = GCF of 36324 and 36320

Related Greatest Common Factor of 36320

Related Greatest Common Factor of 36324

Frequently Asked Questions on GCF of 36320 and 36324

1. What is the GCF of 36320 and 36324?

Answer: GCF of 36320 and 36324 is 4.

2. 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.

3. What are the Factors of 36324?

Answer: Factors of 36324 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 1009, 2018, 3027, 4036, 6054, 9081, 12108, 18162, 36324. There are 18 integers that are factors of 36324. The greatest factor of 36324 is 36324.

4. How to Find the GCF of 36320 and 36324?

Answer:

Greatest Common Factor of 36320 and 36324 = 4

Step 1: Find the prime factorization of 36320

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

Step 2: Find the prime factorization of 36324

36324 = 2 x 2 x 3 x 3 x 1009

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 36320 and 36324 is 4