# Greatest Common Factor of 315 and 317

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 315, 317 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 315 and 317 is 1.

GCF(315,317) = 1

## GCF of 315 and 317

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

GCF of:
and

### Greatest Common Factor of 315 and 317 by Prime factorization method

Prime Factorization of 315

 3 315 3 105 5 35 7 7 1

Prime factors of 315 are 3,5,7. Prime factorization of 315 in exponential form is:

315 = 32×51×71

Prime Factorization of 317

 317 317 1

Prime factors of 317 are 317. Prime factorization of 317 in exponential form is:

317 = 3171

∴ So by taking common prime factors GCF of 315 and 317 is 1

### Greatest Common Factor of 315 and 317 by matching factors method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors and prime factorization of 315 and 317. The biggest common factor number is the GCF number.
So the greatest common factor 315 and 317 is 1.

Also check out the Least Common Multiple of 315 and 317

### Properties of GCF 315 and 317

(i) The GCF of 315 and 317 is associative

GCF of 315 and 317 = GCF of 317 and 315

### Frequently Asked Questions on GCF of 315 and 317

1. What is the GCF of 315 and 317?

Answer: GCF of 315 and 317 is 1.

2. What are the Factors of 315?

Answer: Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. There are 12 integers that are factors of 315. The greatest factor of 315 is 315.

3. What are the Factors of 317?

Answer: Factors of 317 are 1, 317. There are 2 integers that are factors of 317. The greatest factor of 317 is 317.

4. How to Find the GCF of 315 and 317?

Greatest Common Factor of 315 and 317 = 1

Step 1: Find the prime factorization of 315

315 = 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 317

317 = 317

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 315 and 317 is 1