Greatest Common Factor of 17288 and 17296

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 17288, 17296 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17288 and 17296 is 8.

GCF(17288,17296) = 8

GCF of 17288 and 17296

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

GCF of:
and

Greatest Common Factor of 17288 and 17296

GCF of 17288 and 17296 is 8

Prime Factorization of 17288


2 17288
2 8644
2 4322
2161 2161
1

Prime factors of 17288 are 2,2161. Prime factorization of 17288 in exponential form is:

17288 = 23×21611

Prime Factorization of 17296


2 17296
2 8648
2 4324
2 2162
23 1081
47 47
1

Prime factors of 17296 are 2,23,47. Prime factorization of 17296 in exponential form is:

17296 = 24×231×471

∴ So by taking common prime factors GCF of 17288 and 17296 is 8

Greatest Common Factor of 17288 and 17296 by matching factors method

Factors of 17288

List of positive integer factors of 17288 that divides 17288 without a remainder.

1,2,4,8,2161,4322,8644,17288

Factors of 17296

List of positive integer factors of 17296 that divides 17296 without a remainder.

1,2,4,8,16,23,46,47,92,94,184,188,368,376,752,1081,2162,4324,8648,17296

Greatest Common Factor

We found the factors and prime factorization of 17288 and 17296. The biggest common factor number is the GCF number.
So the greatest common factor 17288 and 17296 is 8.

Also check out the Least Common Multiple of 17288 and 17296

Properties of GCF 17288 and 17296

(i) The GCF of 17288 and 17296 is associative

GCF of 17288 and 17296 = GCF of 17296 and 17288

Related Greatest Common Factor of 17288

Related Greatest Common Factor of 17296

Frequently Asked Questions on GCF of 17288 and 17296

1. What is the GCF of 17288 and 17296?

Answer: GCF of 17288 and 17296 is 8.

2. What are the Factors of 17288?

Answer: Factors of 17288 are 1, 2, 4, 8, 2161, 4322, 8644, 17288. There are 8 integers that are factors of 17288. The greatest factor of 17288 is 17288.

3. What are the Factors of 17296?

Answer: Factors of 17296 are 1, 2, 4, 8, 16, 23, 46, 47, 92, 94, 184, 188, 368, 376, 752, 1081, 2162, 4324, 8648, 17296. There are 20 integers that are factors of 17296. The greatest factor of 17296 is 17296.

4. How to Find the GCF of 17288 and 17296?

Answer:

Greatest Common Factor of 17288 and 17296 = 8

Step 1: Find the prime factorization of 17288

17288 = 2 x 2 x 2 x 2161

Step 2: Find the prime factorization of 17296

17296 = 2 x 2 x 2 x 2 x 23 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 17288 and 17296 is 8