Greatest Common Factor of 15315 and 15317

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 15315, 15317 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15315 and 15317 is 1.

GCF(15315,15317) = 1

GCF of 15315 and 15317

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

GCF of:
and

Greatest Common Factor of 15315 and 15317

GCF of 15315 and 15317 is 1

Prime Factorization of 15315


3 15315
5 5105
1021 1021
1

Prime factors of 15315 are 3,5,1021. Prime factorization of 15315 in exponential form is:

15315 = 31×51×10211

Prime Factorization of 15317


17 15317
17 901
53 53
1

Prime factors of 15317 are 17,53. Prime factorization of 15317 in exponential form is:

15317 = 172×531

∴ So by taking common prime factors GCF of 15315 and 15317 is 1

Greatest Common Factor of 15315 and 15317 by matching factors method

Factors of 15315

List of positive integer factors of 15315 that divides 15315 without a remainder.

1,3,5,15,1021,3063,5105,15315

Factors of 15317

List of positive integer factors of 15317 that divides 15317 without a remainder.

1,17,53,289,901,15317

Greatest Common Factor

We found the factors and prime factorization of 15315 and 15317. The biggest common factor number is the GCF number.
So the greatest common factor 15315 and 15317 is 1.

Also check out the Least Common Multiple of 15315 and 15317

Properties of GCF 15315 and 15317

(i) The GCF of 15315 and 15317 is associative

GCF of 15315 and 15317 = GCF of 15317 and 15315

Related Greatest Common Factor of 15315

Related Greatest Common Factor of 15317

Frequently Asked Questions on GCF of 15315 and 15317

1. What is the GCF of 15315 and 15317?

Answer: GCF of 15315 and 15317 is 1.

2. What are the Factors of 15315?

Answer: Factors of 15315 are 1, 3, 5, 15, 1021, 3063, 5105, 15315. There are 8 integers that are factors of 15315. The greatest factor of 15315 is 15315.

3. What are the Factors of 15317?

Answer: Factors of 15317 are 1, 17, 53, 289, 901, 15317. There are 6 integers that are factors of 15317. The greatest factor of 15317 is 15317.

4. How to Find the GCF of 15315 and 15317?

Answer:

Greatest Common Factor of 15315 and 15317 = 1

Step 1: Find the prime factorization of 15315

15315 = 3 x 5 x 1021

Step 2: Find the prime factorization of 15317

15317 = 17 x 17 x 53

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 15315 and 15317 is 1