Greatest Common Factor of 1310 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 1310, 1311 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1310 and 1311 is 1.

GCF(1310,1311) = 1

GCF of 1310 and 1311

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

GCF of:
and

Greatest Common Factor of 1310 and 1311

GCF of 1310 and 1311 is 1

Prime Factorization of 1310


2 1310
5 655
131 131
1

Prime factors of 1310 are 2,5,131. Prime factorization of 1310 in exponential form is:

1310 = 21×51×1311

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 1310 and 1311 is 1

Greatest Common Factor of 1310 and 1311 by matching factors method

Factors of 1310

List of positive integer factors of 1310 that divides 1310 without a remainder.

1,2,5,10,131,262,655,1310

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 1310 and 1311. The biggest common factor number is the GCF number.
So the greatest common factor 1310 and 1311 is 1.

Also check out the Least Common Multiple of 1310 and 1311

Properties of GCF 1310 and 1311

(i) The GCF of 1310 and 1311 is associative

GCF of 1310 and 1311 = GCF of 1311 and 1310

Related Greatest Common Factor of 1310

Related Greatest Common Factor of 1311

Frequently Asked Questions on GCF of 1310 and 1311

1. What is the GCF of 1310 and 1311?

Answer: GCF of 1310 and 1311 is 1.

2. What are the Factors of 1310?

Answer: Factors of 1310 are 1, 2, 5, 10, 131, 262, 655, 1310. There are 8 integers that are factors of 1310. The greatest factor of 1310 is 1310.

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 1310 and 1311?

Answer:

Greatest Common Factor of 1310 and 1311 = 1

Step 1: Find the prime factorization of 1310

1310 = 2 x 5 x 131

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 1310 and 1311 is 1