Greatest Common Factor of 1310 and 1313

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, 1313 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1310 and 1313 is 1.

GCF(1310,1313) = 1

GCF of 1310 and 1313

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

GCF of:
and

Greatest Common Factor of 1310 and 1313

GCF of 1310 and 1313 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 1313


13 1313
101 101
1

Prime factors of 1313 are 13,101. Prime factorization of 1313 in exponential form is:

1313 = 131×1011

∴ So by taking common prime factors GCF of 1310 and 1313 is 1

Greatest Common Factor of 1310 and 1313 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 1313

List of positive integer factors of 1313 that divides 1313 without a remainder.

1,13,101,1313

Greatest Common Factor

We found the factors and prime factorization of 1310 and 1313. The biggest common factor number is the GCF number.
So the greatest common factor 1310 and 1313 is 1.

Also check out the Least Common Multiple of 1310 and 1313

Properties of GCF 1310 and 1313

(i) The GCF of 1310 and 1313 is associative

GCF of 1310 and 1313 = GCF of 1313 and 1310

Related Greatest Common Factor of 1310

Related Greatest Common Factor of 1313

Frequently Asked Questions on GCF of 1310 and 1313

1. What is the GCF of 1310 and 1313?

Answer: GCF of 1310 and 1313 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 1313?

Answer: Factors of 1313 are 1, 13, 101, 1313. There are 4 integers that are factors of 1313. The greatest factor of 1313 is 1313.

4. How to Find the GCF of 1310 and 1313?

Answer:

Greatest Common Factor of 1310 and 1313 = 1

Step 1: Find the prime factorization of 1310

1310 = 2 x 5 x 131

Step 2: Find the prime factorization of 1313

1313 = 13 x 101

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 1313 is 1