Greatest Common Factor of 1306 and 1311

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 1306, 1311 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1306 and 1311 is 1.

GCF(1306,1311) = 1

GCF of 1306 and 1311

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

GCF of:
and

Greatest Common Factor of 1306 and 1311

GCF of 1306 and 1311 is 1

Prime Factorization of 1306


2 1306
653 653
1

Prime factors of 1306 are 2,653. Prime factorization of 1306 in exponential form is:

1306 = 21×6531

Prime Factorization of 1311


3 1311
19 437
23 23
1

Prime factors of 1311 are 3,19,23. Prime factorization of 1311 in exponential form is:

1311 = 31×191×231

∴ So by taking common prime factors GCF of 1306 and 1311 is 1

Greatest Common Factor of 1306 and 1311 by matching factors method

Factors of 1306

List of positive integer factors of 1306 that divides 1306 without a remainder.

1,2,653,1306

Factors of 1311

List of positive integer factors of 1311 that divides 1311 without a remainder.

1,3,19,23,57,69,437,1311

Greatest Common Factor

We found the factors and prime factorization of 1306 and 1311. The biggest common factor number is the GCF number.
So the greatest common factor 1306 and 1311 is 1.

Also check out the Least Common Multiple of 1306 and 1311

Properties of GCF 1306 and 1311

(i) The GCF of 1306 and 1311 is associative

GCF of 1306 and 1311 = GCF of 1311 and 1306

Related Greatest Common Factor of 1306

Related Greatest Common Factor of 1311

Frequently Asked Questions on GCF of 1306 and 1311

1. What is the GCF of 1306 and 1311?

Answer: GCF of 1306 and 1311 is 1.

2. What are the Factors of 1306?

Answer: Factors of 1306 are 1, 2, 653, 1306. There are 4 integers that are factors of 1306. The greatest factor of 1306 is 1306.

3. What are the Factors of 1311?

Answer: Factors of 1311 are 1, 3, 19, 23, 57, 69, 437, 1311. There are 8 integers that are factors of 1311. The greatest factor of 1311 is 1311.

4. How to Find the GCF of 1306 and 1311?

Answer:

Greatest Common Factor of 1306 and 1311 = 1

Step 1: Find the prime factorization of 1306

1306 = 2 x 653

Step 2: Find the prime factorization of 1311

1311 = 3 x 19 x 23

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 1306 and 1311 is 1