Greatest Common Factor of 17329 and 17336

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, 17336 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17329 and 17336 is 1.

GCF(17329,17336) = 1

GCF of 17329 and 17336

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

GCF of:
and

Greatest Common Factor of 17329 and 17336

GCF of 17329 and 17336 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 17336


2 17336
2 8668
2 4334
11 2167
197 197
1

Prime factors of 17336 are 2,11,197. Prime factorization of 17336 in exponential form is:

17336 = 23×111×1971

∴ So by taking common prime factors GCF of 17329 and 17336 is 1

Greatest Common Factor of 17329 and 17336 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 17336

List of positive integer factors of 17336 that divides 17336 without a remainder.

1,2,4,8,11,22,44,88,197,394,788,1576,2167,4334,8668,17336

Greatest Common Factor

We found the factors and prime factorization of 17329 and 17336. The biggest common factor number is the GCF number.
So the greatest common factor 17329 and 17336 is 1.

Also check out the Least Common Multiple of 17329 and 17336

Properties of GCF 17329 and 17336

(i) The GCF of 17329 and 17336 is associative

GCF of 17329 and 17336 = GCF of 17336 and 17329

Related Greatest Common Factor of 17329

Related Greatest Common Factor of 17336

Frequently Asked Questions on GCF of 17329 and 17336

1. What is the GCF of 17329 and 17336?

Answer: GCF of 17329 and 17336 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 17336?

Answer: Factors of 17336 are 1, 2, 4, 8, 11, 22, 44, 88, 197, 394, 788, 1576, 2167, 4334, 8668, 17336. There are 16 integers that are factors of 17336. The greatest factor of 17336 is 17336.

4. How to Find the GCF of 17329 and 17336?

Answer:

Greatest Common Factor of 17329 and 17336 = 1

Step 1: Find the prime factorization of 17329

17329 = 13 x 31 x 43

Step 2: Find the prime factorization of 17336

17336 = 2 x 2 x 2 x 11 x 197

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 17336 is 1