Greatest Common Factor of 36304 and 36311

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 36304, 36311 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36304 and 36311 is 1.

GCF(36304,36311) = 1

GCF of 36304 and 36311

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

GCF of:
and

Greatest Common Factor of 36304 and 36311

GCF of 36304 and 36311 is 1

Prime Factorization of 36304


2 36304
2 18152
2 9076
2 4538
2269 2269
1

Prime factors of 36304 are 2,2269. Prime factorization of 36304 in exponential form is:

36304 = 24×22691

Prime Factorization of 36311


11 36311
3301 3301
1

Prime factors of 36311 are 11,3301. Prime factorization of 36311 in exponential form is:

36311 = 111×33011

∴ So by taking common prime factors GCF of 36304 and 36311 is 1

Greatest Common Factor of 36304 and 36311 by matching factors method

Factors of 36304

List of positive integer factors of 36304 that divides 36304 without a remainder.

1,2,4,8,16,2269,4538,9076,18152,36304

Factors of 36311

List of positive integer factors of 36311 that divides 36311 without a remainder.

1,11,3301,36311

Greatest Common Factor

We found the factors and prime factorization of 36304 and 36311. The biggest common factor number is the GCF number.
So the greatest common factor 36304 and 36311 is 1.

Also check out the Least Common Multiple of 36304 and 36311

Properties of GCF 36304 and 36311

(i) The GCF of 36304 and 36311 is associative

GCF of 36304 and 36311 = GCF of 36311 and 36304

Related Greatest Common Factor of 36304

Related Greatest Common Factor of 36311

Frequently Asked Questions on GCF of 36304 and 36311

1. What is the GCF of 36304 and 36311?

Answer: GCF of 36304 and 36311 is 1.

2. What are the Factors of 36304?

Answer: Factors of 36304 are 1, 2, 4, 8, 16, 2269, 4538, 9076, 18152, 36304. There are 10 integers that are factors of 36304. The greatest factor of 36304 is 36304.

3. What are the Factors of 36311?

Answer: Factors of 36311 are 1, 11, 3301, 36311. There are 4 integers that are factors of 36311. The greatest factor of 36311 is 36311.

4. How to Find the GCF of 36304 and 36311?

Answer:

Greatest Common Factor of 36304 and 36311 = 1

Step 1: Find the prime factorization of 36304

36304 = 2 x 2 x 2 x 2 x 2269

Step 2: Find the prime factorization of 36311

36311 = 11 x 3301

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 36304 and 36311 is 1