Greatest Common Factor of 17315 and 17321

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 17315, 17321 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17315 and 17321 is 1.

GCF(17315,17321) = 1

GCF of 17315 and 17321

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

GCF of:
and

Greatest Common Factor of 17315 and 17321

GCF of 17315 and 17321 is 1

Prime Factorization of 17315


5 17315
3463 3463
1

Prime factors of 17315 are 5,3463. Prime factorization of 17315 in exponential form is:

17315 = 51×34631

Prime Factorization of 17321


17321 17321
1

Prime factors of 17321 are 17321. Prime factorization of 17321 in exponential form is:

17321 = 173211

∴ So by taking common prime factors GCF of 17315 and 17321 is 1

Greatest Common Factor of 17315 and 17321 by matching factors method

Factors of 17315

List of positive integer factors of 17315 that divides 17315 without a remainder.

1,5,3463,17315

Factors of 17321

List of positive integer factors of 17321 that divides 17321 without a remainder.

1,17321

Greatest Common Factor

We found the factors and prime factorization of 17315 and 17321. The biggest common factor number is the GCF number.
So the greatest common factor 17315 and 17321 is 1.

Also check out the Least Common Multiple of 17315 and 17321

Properties of GCF 17315 and 17321

(i) The GCF of 17315 and 17321 is associative

GCF of 17315 and 17321 = GCF of 17321 and 17315

Related Greatest Common Factor of 17315

Related Greatest Common Factor of 17321

Frequently Asked Questions on GCF of 17315 and 17321

1. What is the GCF of 17315 and 17321?

Answer: GCF of 17315 and 17321 is 1.

2. What are the Factors of 17315?

Answer: Factors of 17315 are 1, 5, 3463, 17315. There are 4 integers that are factors of 17315. The greatest factor of 17315 is 17315.

3. What are the Factors of 17321?

Answer: Factors of 17321 are 1, 17321. There are 2 integers that are factors of 17321. The greatest factor of 17321 is 17321.

4. How to Find the GCF of 17315 and 17321?

Answer:

Greatest Common Factor of 17315 and 17321 = 1

Step 1: Find the prime factorization of 17315

17315 = 5 x 3463

Step 2: Find the prime factorization of 17321

17321 = 17321

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 17315 and 17321 is 1