Greatest Common Factor of 7304 and 7311

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 7304, 7311 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7304 and 7311 is 1.

GCF(7304,7311) = 1

GCF of 7304 and 7311

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

GCF of:
and

Greatest Common Factor of 7304 and 7311

GCF of 7304 and 7311 is 1

Prime Factorization of 7304


2 7304
2 3652
2 1826
11 913
83 83
1

Prime factors of 7304 are 2,11,83. Prime factorization of 7304 in exponential form is:

7304 = 23×111×831

Prime Factorization of 7311


3 7311
2437 2437
1

Prime factors of 7311 are 3,2437. Prime factorization of 7311 in exponential form is:

7311 = 31×24371

∴ So by taking common prime factors GCF of 7304 and 7311 is 1

Greatest Common Factor of 7304 and 7311 by matching factors method

Factors of 7304

List of positive integer factors of 7304 that divides 7304 without a remainder.

1,2,4,8,11,22,44,83,88,166,332,664,913,1826,3652,7304

Factors of 7311

List of positive integer factors of 7311 that divides 7311 without a remainder.

1,3,2437,7311

Greatest Common Factor

We found the factors and prime factorization of 7304 and 7311. The biggest common factor number is the GCF number.
So the greatest common factor 7304 and 7311 is 1.

Also check out the Least Common Multiple of 7304 and 7311

Properties of GCF 7304 and 7311

(i) The GCF of 7304 and 7311 is associative

GCF of 7304 and 7311 = GCF of 7311 and 7304

Related Greatest Common Factor of 7304

Related Greatest Common Factor of 7311

Frequently Asked Questions on GCF of 7304 and 7311

1. What is the GCF of 7304 and 7311?

Answer: GCF of 7304 and 7311 is 1.

2. What are the Factors of 7304?

Answer: Factors of 7304 are 1, 2, 4, 8, 11, 22, 44, 83, 88, 166, 332, 664, 913, 1826, 3652, 7304. There are 16 integers that are factors of 7304. The greatest factor of 7304 is 7304.

3. What are the Factors of 7311?

Answer: Factors of 7311 are 1, 3, 2437, 7311. There are 4 integers that are factors of 7311. The greatest factor of 7311 is 7311.

4. How to Find the GCF of 7304 and 7311?

Answer:

Greatest Common Factor of 7304 and 7311 = 1

Step 1: Find the prime factorization of 7304

7304 = 2 x 2 x 2 x 11 x 83

Step 2: Find the prime factorization of 7311

7311 = 3 x 2437

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 7304 and 7311 is 1