Greatest Common Factor of 36306 and 36308

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 36306, 36308 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36306 and 36308 is 2.

GCF(36306,36308) = 2

GCF of 36306 and 36308

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

GCF of:
and

Greatest Common Factor of 36306 and 36308

GCF of 36306 and 36308 is 2

Prime Factorization of 36306


2 36306
3 18153
3 6051
2017 2017
1

Prime factors of 36306 are 2,3,2017. Prime factorization of 36306 in exponential form is:

36306 = 21×32×20171

Prime Factorization of 36308


2 36308
2 18154
29 9077
313 313
1

Prime factors of 36308 are 2,29,313. Prime factorization of 36308 in exponential form is:

36308 = 22×291×3131

∴ So by taking common prime factors GCF of 36306 and 36308 is 2

Greatest Common Factor of 36306 and 36308 by matching factors method

Factors of 36306

List of positive integer factors of 36306 that divides 36306 without a remainder.

1,2,3,6,9,18,2017,4034,6051,12102,18153,36306

Factors of 36308

List of positive integer factors of 36308 that divides 36308 without a remainder.

1,2,4,29,58,116,313,626,1252,9077,18154,36308

Greatest Common Factor

We found the factors and prime factorization of 36306 and 36308. The biggest common factor number is the GCF number.
So the greatest common factor 36306 and 36308 is 2.

Also check out the Least Common Multiple of 36306 and 36308

Properties of GCF 36306 and 36308

(i) The GCF of 36306 and 36308 is associative

GCF of 36306 and 36308 = GCF of 36308 and 36306

Related Greatest Common Factor of 36306

Related Greatest Common Factor of 36308

Frequently Asked Questions on GCF of 36306 and 36308

1. What is the GCF of 36306 and 36308?

Answer: GCF of 36306 and 36308 is 2.

2. What are the Factors of 36306?

Answer: Factors of 36306 are 1, 2, 3, 6, 9, 18, 2017, 4034, 6051, 12102, 18153, 36306. There are 12 integers that are factors of 36306. The greatest factor of 36306 is 36306.

3. What are the Factors of 36308?

Answer: Factors of 36308 are 1, 2, 4, 29, 58, 116, 313, 626, 1252, 9077, 18154, 36308. There are 12 integers that are factors of 36308. The greatest factor of 36308 is 36308.

4. How to Find the GCF of 36306 and 36308?

Answer:

Greatest Common Factor of 36306 and 36308 = 2

Step 1: Find the prime factorization of 36306

36306 = 2 x 3 x 3 x 2017

Step 2: Find the prime factorization of 36308

36308 = 2 x 2 x 29 x 313

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

GCF = 2

Step 4: Therefore, the greatest common factor of 36306 and 36308 is 2