# Greatest Common Factor of 315 and 319

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 315, 319 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 315 and 319 is 1.

GCF(315,319) = 1

## GCF of 315 and 319

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

GCF of:
and

### Greatest Common Factor of 315 and 319 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 319

 11 319 29 29 1

Prime factors of 319 are 11,29. Prime factorization of 319 in exponential form is:

319 = 111×291

∴ So by taking common prime factors GCF of 315 and 319 is 1

### Greatest Common Factor of 315 and 319 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 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors and prime factorization of 315 and 319. The biggest common factor number is the GCF number.
So the greatest common factor 315 and 319 is 1.

Also check out the Least Common Multiple of 315 and 319

### Properties of GCF 315 and 319

(i) The GCF of 315 and 319 is associative

GCF of 315 and 319 = GCF of 319 and 315

### Frequently Asked Questions on GCF of 315 and 319

1. What is the GCF of 315 and 319?

Answer: GCF of 315 and 319 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 319?

Answer: Factors of 319 are 1, 11, 29, 319. There are 4 integers that are factors of 319. The greatest factor of 319 is 319.

4. How to Find the GCF of 315 and 319?

Greatest Common Factor of 315 and 319 = 1

Step 1: Find the prime factorization of 315

315 = 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 319

319 = 11 x 29

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 319 is 1