Greatest Common Factor of 12313 and 12315

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 12313, 12315 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12313 and 12315 is 1.

GCF(12313,12315) = 1

GCF of 12313 and 12315

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

GCF of:
and

Greatest Common Factor of 12313 and 12315

GCF of 12313 and 12315 is 1

Prime Factorization of 12313


7 12313
1759 1759
1

Prime factors of 12313 are 7,1759. Prime factorization of 12313 in exponential form is:

12313 = 71×17591

Prime Factorization of 12315


3 12315
5 4105
821 821
1

Prime factors of 12315 are 3,5,821. Prime factorization of 12315 in exponential form is:

12315 = 31×51×8211

∴ So by taking common prime factors GCF of 12313 and 12315 is 1

Greatest Common Factor of 12313 and 12315 by matching factors method

Factors of 12313

List of positive integer factors of 12313 that divides 12313 without a remainder.

1,7,1759,12313

Factors of 12315

List of positive integer factors of 12315 that divides 12315 without a remainder.

1,3,5,15,821,2463,4105,12315

Greatest Common Factor

We found the factors and prime factorization of 12313 and 12315. The biggest common factor number is the GCF number.
So the greatest common factor 12313 and 12315 is 1.

Also check out the Least Common Multiple of 12313 and 12315

Properties of GCF 12313 and 12315

(i) The GCF of 12313 and 12315 is associative

GCF of 12313 and 12315 = GCF of 12315 and 12313

Related Greatest Common Factor of 12313

Related Greatest Common Factor of 12315

Frequently Asked Questions on GCF of 12313 and 12315

1. What is the GCF of 12313 and 12315?

Answer: GCF of 12313 and 12315 is 1.

2. What are the Factors of 12313?

Answer: Factors of 12313 are 1, 7, 1759, 12313. There are 4 integers that are factors of 12313. The greatest factor of 12313 is 12313.

3. What are the Factors of 12315?

Answer: Factors of 12315 are 1, 3, 5, 15, 821, 2463, 4105, 12315. There are 8 integers that are factors of 12315. The greatest factor of 12315 is 12315.

4. How to Find the GCF of 12313 and 12315?

Answer:

Greatest Common Factor of 12313 and 12315 = 1

Step 1: Find the prime factorization of 12313

12313 = 7 x 1759

Step 2: Find the prime factorization of 12315

12315 = 3 x 5 x 821

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 12313 and 12315 is 1