Greatest Common Factor of 17238 and 17242

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, 17242 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17238 and 17242 is 2.

GCF(17238,17242) = 2

GCF of 17238 and 17242

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

GCF of:
and

Greatest Common Factor of 17238 and 17242

GCF of 17238 and 17242 is 2

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 17242


2 17242
37 8621
233 233
1

Prime factors of 17242 are 2,37,233. Prime factorization of 17242 in exponential form is:

17242 = 21×371×2331

∴ So by taking common prime factors GCF of 17238 and 17242 is 2

Greatest Common Factor of 17238 and 17242 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 17242

List of positive integer factors of 17242 that divides 17242 without a remainder.

1,2,37,74,233,466,8621,17242

Greatest Common Factor

We found the factors and prime factorization of 17238 and 17242. The biggest common factor number is the GCF number.
So the greatest common factor 17238 and 17242 is 2.

Also check out the Least Common Multiple of 17238 and 17242

Properties of GCF 17238 and 17242

(i) The GCF of 17238 and 17242 is associative

GCF of 17238 and 17242 = GCF of 17242 and 17238

Related Greatest Common Factor of 17238

Related Greatest Common Factor of 17242

Frequently Asked Questions on GCF of 17238 and 17242

1. What is the GCF of 17238 and 17242?

Answer: GCF of 17238 and 17242 is 2.

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 17242?

Answer: Factors of 17242 are 1, 2, 37, 74, 233, 466, 8621, 17242. There are 8 integers that are factors of 17242. The greatest factor of 17242 is 17242.

4. How to Find the GCF of 17238 and 17242?

Answer:

Greatest Common Factor of 17238 and 17242 = 2

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 17242

17242 = 2 x 37 x 233

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

GCF = 2

Step 4: Therefore, the greatest common factor of 17238 and 17242 is 2