Greatest Common Factor of 17329 and 17334

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 17329, 17334 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17329 and 17334 is 1.

GCF(17329,17334) = 1

GCF of 17329 and 17334

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

GCF of:
and

Greatest Common Factor of 17329 and 17334

GCF of 17329 and 17334 is 1

Prime Factorization of 17329


13 17329
31 1333
43 43
1

Prime factors of 17329 are 13,31,43. Prime factorization of 17329 in exponential form is:

17329 = 131×311×431

Prime Factorization of 17334


2 17334
3 8667
3 2889
3 963
3 321
107 107
1

Prime factors of 17334 are 2,3,107. Prime factorization of 17334 in exponential form is:

17334 = 21×34×1071

∴ So by taking common prime factors GCF of 17329 and 17334 is 1

Greatest Common Factor of 17329 and 17334 by matching factors method

Factors of 17329

List of positive integer factors of 17329 that divides 17329 without a remainder.

1,13,31,43,403,559,1333,17329

Factors of 17334

List of positive integer factors of 17334 that divides 17334 without a remainder.

1,2,3,6,9,18,27,54,81,107,162,214,321,642,963,1926,2889,5778,8667,17334

Greatest Common Factor

We found the factors and prime factorization of 17329 and 17334. The biggest common factor number is the GCF number.
So the greatest common factor 17329 and 17334 is 1.

Also check out the Least Common Multiple of 17329 and 17334

Properties of GCF 17329 and 17334

(i) The GCF of 17329 and 17334 is associative

GCF of 17329 and 17334 = GCF of 17334 and 17329

Related Greatest Common Factor of 17329

Related Greatest Common Factor of 17334

Frequently Asked Questions on GCF of 17329 and 17334

1. What is the GCF of 17329 and 17334?

Answer: GCF of 17329 and 17334 is 1.

2. What are the Factors of 17329?

Answer: Factors of 17329 are 1, 13, 31, 43, 403, 559, 1333, 17329. There are 8 integers that are factors of 17329. The greatest factor of 17329 is 17329.

3. What are the Factors of 17334?

Answer: Factors of 17334 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 107, 162, 214, 321, 642, 963, 1926, 2889, 5778, 8667, 17334. There are 20 integers that are factors of 17334. The greatest factor of 17334 is 17334.

4. How to Find the GCF of 17329 and 17334?

Answer:

Greatest Common Factor of 17329 and 17334 = 1

Step 1: Find the prime factorization of 17329

17329 = 13 x 31 x 43

Step 2: Find the prime factorization of 17334

17334 = 2 x 3 x 3 x 3 x 3 x 107

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 17329 and 17334 is 1