Greatest Common Factor of 17297 and 17304

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 17297, 17304 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17297 and 17304 is 7.

GCF(17297,17304) = 7

GCF of 17297 and 17304

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

GCF of:
and

Greatest Common Factor of 17297 and 17304

GCF of 17297 and 17304 is 7

Prime Factorization of 17297


7 17297
7 2471
353 353
1

Prime factors of 17297 are 7,353. Prime factorization of 17297 in exponential form is:

17297 = 72×3531

Prime Factorization of 17304


2 17304
2 8652
2 4326
3 2163
7 721
103 103
1

Prime factors of 17304 are 2,3,7,103. Prime factorization of 17304 in exponential form is:

17304 = 23×31×71×1031

∴ So by taking common prime factors GCF of 17297 and 17304 is 7

Greatest Common Factor of 17297 and 17304 by matching factors method

Factors of 17297

List of positive integer factors of 17297 that divides 17297 without a remainder.

1,7,49,353,2471,17297

Factors of 17304

List of positive integer factors of 17304 that divides 17304 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,103,168,206,309,412,618,721,824,1236,1442,2163,2472,2884,4326,5768,8652,17304

Greatest Common Factor

We found the factors and prime factorization of 17297 and 17304. The biggest common factor number is the GCF number.
So the greatest common factor 17297 and 17304 is 7.

Also check out the Least Common Multiple of 17297 and 17304

Properties of GCF 17297 and 17304

(i) The GCF of 17297 and 17304 is associative

GCF of 17297 and 17304 = GCF of 17304 and 17297

Related Greatest Common Factor of 17297

Related Greatest Common Factor of 17304

Frequently Asked Questions on GCF of 17297 and 17304

1. What is the GCF of 17297 and 17304?

Answer: GCF of 17297 and 17304 is 7.

2. What are the Factors of 17297?

Answer: Factors of 17297 are 1, 7, 49, 353, 2471, 17297. There are 6 integers that are factors of 17297. The greatest factor of 17297 is 17297.

3. What are the Factors of 17304?

Answer: Factors of 17304 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 103, 168, 206, 309, 412, 618, 721, 824, 1236, 1442, 2163, 2472, 2884, 4326, 5768, 8652, 17304. There are 32 integers that are factors of 17304. The greatest factor of 17304 is 17304.

4. How to Find the GCF of 17297 and 17304?

Answer:

Greatest Common Factor of 17297 and 17304 = 7

Step 1: Find the prime factorization of 17297

17297 = 7 x 7 x 353

Step 2: Find the prime factorization of 17304

17304 = 2 x 2 x 2 x 3 x 7 x 103

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

GCF = 7

Step 4: Therefore, the greatest common factor of 17297 and 17304 is 7