Greatest Common Factor of 15317 and 15322

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 15317, 15322 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15317 and 15322 is 1.

GCF(15317,15322) = 1

GCF of 15317 and 15322

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

GCF of:
and

Greatest Common Factor of 15317 and 15322

GCF of 15317 and 15322 is 1

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

Prime Factorization of 15322


2 15322
47 7661
163 163
1

Prime factors of 15322 are 2,47,163. Prime factorization of 15322 in exponential form is:

15322 = 21×471×1631

∴ So by taking common prime factors GCF of 15317 and 15322 is 1

Greatest Common Factor of 15317 and 15322 by matching factors method

Factors of 15317

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

1,17,53,289,901,15317

Factors of 15322

List of positive integer factors of 15322 that divides 15322 without a remainder.

1,2,47,94,163,326,7661,15322

Greatest Common Factor

We found the factors and prime factorization of 15317 and 15322. The biggest common factor number is the GCF number.
So the greatest common factor 15317 and 15322 is 1.

Also check out the Least Common Multiple of 15317 and 15322

Properties of GCF 15317 and 15322

(i) The GCF of 15317 and 15322 is associative

GCF of 15317 and 15322 = GCF of 15322 and 15317

Related Greatest Common Factor of 15317

Related Greatest Common Factor of 15322

Frequently Asked Questions on GCF of 15317 and 15322

1. What is the GCF of 15317 and 15322?

Answer: GCF of 15317 and 15322 is 1.

2. 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.

3. What are the Factors of 15322?

Answer: Factors of 15322 are 1, 2, 47, 94, 163, 326, 7661, 15322. There are 8 integers that are factors of 15322. The greatest factor of 15322 is 15322.

4. How to Find the GCF of 15317 and 15322?

Answer:

Greatest Common Factor of 15317 and 15322 = 1

Step 1: Find the prime factorization of 15317

15317 = 17 x 17 x 53

Step 2: Find the prime factorization of 15322

15322 = 2 x 47 x 163

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 15317 and 15322 is 1