Greatest Common Factor of 309 and 311

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 309, 311 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309 and 311 is 1.

GCF(309,311) = 1

GCF of 309 and 311

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

GCF of:
and

Greatest Common Factor of 309 and 311

GCF of 309 and 311 is 1

Prime Factorization of 309


3 309
103 103
1

Prime factors of 309 are 3,103. Prime factorization of 309 in exponential form is:

309 = 31×1031

Prime Factorization of 311


311 311
1

Prime factors of 311 are 311. Prime factorization of 311 in exponential form is:

311 = 3111

∴ So by taking common prime factors GCF of 309 and 311 is 1

Greatest Common Factor of 309 and 311 by matching factors method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors and prime factorization of 309 and 311. The biggest common factor number is the GCF number.
So the greatest common factor 309 and 311 is 1.

Also check out the Least Common Multiple of 309 and 311

Properties of GCF 309 and 311

(i) The GCF of 309 and 311 is associative

GCF of 309 and 311 = GCF of 311 and 309

Related Greatest Common Factor of 309

Related Greatest Common Factor of 311

Frequently Asked Questions on GCF of 309 and 311

1. What is the GCF of 309 and 311?

Answer: GCF of 309 and 311 is 1.

2. What are the Factors of 309?

Answer: Factors of 309 are 1, 3, 103, 309. There are 4 integers that are factors of 309. The greatest factor of 309 is 309.

3. What are the Factors of 311?

Answer: Factors of 311 are 1, 311. There are 2 integers that are factors of 311. The greatest factor of 311 is 311.

4. How to Find the GCF of 309 and 311?

Answer:

Greatest Common Factor of 309 and 311 = 1

Step 1: Find the prime factorization of 309

309 = 3 x 103

Step 2: Find the prime factorization of 311

311 = 311

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 309 and 311 is 1