Greatest Common Factor of 305 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 305, 311 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 305 and 311 is 1.

GCF(305,311) = 1

GCF of 305 and 311

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

GCF of:
and

Greatest Common Factor of 305 and 311

GCF of 305 and 311 is 1

Prime Factorization of 305


5 305
61 61
1

Prime factors of 305 are 5,61. Prime factorization of 305 in exponential form is:

305 = 51×611

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 305 and 311 is 1

Greatest Common Factor of 305 and 311 by matching factors method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

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 305 and 311. The biggest common factor number is the GCF number.
So the greatest common factor 305 and 311 is 1.

Also check out the Least Common Multiple of 305 and 311

Properties of GCF 305 and 311

(i) The GCF of 305 and 311 is associative

GCF of 305 and 311 = GCF of 311 and 305

Related Greatest Common Factor of 305

Related Greatest Common Factor of 311

Frequently Asked Questions on GCF of 305 and 311

1. What is the GCF of 305 and 311?

Answer: GCF of 305 and 311 is 1.

2. What are the Factors of 305?

Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.

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 305 and 311?

Answer:

Greatest Common Factor of 305 and 311 = 1

Step 1: Find the prime factorization of 305

305 = 5 x 61

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 305 and 311 is 1