Greatest Common Factor of 17238 and 17246

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, 17246 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17238 and 17246 is 2.

GCF(17238,17246) = 2

GCF of 17238 and 17246

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

GCF of:
and

Greatest Common Factor of 17238 and 17246

GCF of 17238 and 17246 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 17246


2 17246
8623 8623
1

Prime factors of 17246 are 2,8623. Prime factorization of 17246 in exponential form is:

17246 = 21×86231

∴ So by taking common prime factors GCF of 17238 and 17246 is 2

Greatest Common Factor of 17238 and 17246 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 17246

List of positive integer factors of 17246 that divides 17246 without a remainder.

1,2,8623,17246

Greatest Common Factor

We found the factors and prime factorization of 17238 and 17246. The biggest common factor number is the GCF number.
So the greatest common factor 17238 and 17246 is 2.

Also check out the Least Common Multiple of 17238 and 17246

Properties of GCF 17238 and 17246

(i) The GCF of 17238 and 17246 is associative

GCF of 17238 and 17246 = GCF of 17246 and 17238

Related Greatest Common Factor of 17238

Related Greatest Common Factor of 17246

Frequently Asked Questions on GCF of 17238 and 17246

1. What is the GCF of 17238 and 17246?

Answer: GCF of 17238 and 17246 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 17246?

Answer: Factors of 17246 are 1, 2, 8623, 17246. There are 4 integers that are factors of 17246. The greatest factor of 17246 is 17246.

4. How to Find the GCF of 17238 and 17246?

Answer:

Greatest Common Factor of 17238 and 17246 = 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 17246

17246 = 2 x 8623

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 17246 is 2