Greatest Common Factor of 17238 and 17244

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 17238, 17244 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17238 and 17244 is 6.

GCF(17238,17244) = 6

GCF of 17238 and 17244

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

GCF of:
and

Greatest Common Factor of 17238 and 17244

GCF of 17238 and 17244 is 6

Prime Factorization of 17238


2 17238
3 8619
13 2873
13 221
17 17
1

Prime factors of 17238 are 2,3,13,17. Prime factorization of 17238 in exponential form is:

17238 = 21×31×132×171

Prime Factorization of 17244


2 17244
2 8622
3 4311
3 1437
479 479
1

Prime factors of 17244 are 2,3,479. Prime factorization of 17244 in exponential form is:

17244 = 22×32×4791

∴ So by taking common prime factors GCF of 17238 and 17244 is 6

Greatest Common Factor of 17238 and 17244 by matching factors method

Factors of 17238

List of positive integer factors of 17238 that divides 17238 without a remainder.

1,2,3,6,13,17,26,34,39,51,78,102,169,221,338,442,507,663,1014,1326,2873,5746,8619,17238

Factors of 17244

List of positive integer factors of 17244 that divides 17244 without a remainder.

1,2,3,4,6,9,12,18,36,479,958,1437,1916,2874,4311,5748,8622,17244

Greatest Common Factor

We found the factors and prime factorization of 17238 and 17244. The biggest common factor number is the GCF number.
So the greatest common factor 17238 and 17244 is 6.

Also check out the Least Common Multiple of 17238 and 17244

Properties of GCF 17238 and 17244

(i) The GCF of 17238 and 17244 is associative

GCF of 17238 and 17244 = GCF of 17244 and 17238

Related Greatest Common Factor of 17238

Related Greatest Common Factor of 17244

Frequently Asked Questions on GCF of 17238 and 17244

1. What is the GCF of 17238 and 17244?

Answer: GCF of 17238 and 17244 is 6.

2. What are the Factors of 17238?

Answer: Factors of 17238 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 169, 221, 338, 442, 507, 663, 1014, 1326, 2873, 5746, 8619, 17238. There are 24 integers that are factors of 17238. The greatest factor of 17238 is 17238.

3. What are the Factors of 17244?

Answer: Factors of 17244 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 479, 958, 1437, 1916, 2874, 4311, 5748, 8622, 17244. There are 18 integers that are factors of 17244. The greatest factor of 17244 is 17244.

4. How to Find the GCF of 17238 and 17244?

Answer:

Greatest Common Factor of 17238 and 17244 = 6

Step 1: Find the prime factorization of 17238

17238 = 2 x 3 x 13 x 13 x 17

Step 2: Find the prime factorization of 17244

17244 = 2 x 2 x 3 x 3 x 479

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 17238 and 17244 is 6