Greatest Common Factor of 17236 and 17238

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 17236, 17238 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17236 and 17238 is 2.

GCF(17236,17238) = 2

GCF of 17236 and 17238

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

GCF of:
and

Greatest Common Factor of 17236 and 17238

GCF of 17236 and 17238 is 2

Prime Factorization of 17236


2 17236
2 8618
31 4309
139 139
1

Prime factors of 17236 are 2,31,139. Prime factorization of 17236 in exponential form is:

17236 = 22×311×1391

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

∴ So by taking common prime factors GCF of 17236 and 17238 is 2

Greatest Common Factor of 17236 and 17238 by matching factors method

Factors of 17236

List of positive integer factors of 17236 that divides 17236 without a remainder.

1,2,4,31,62,124,139,278,556,4309,8618,17236

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

Greatest Common Factor

We found the factors and prime factorization of 17236 and 17238. The biggest common factor number is the GCF number.
So the greatest common factor 17236 and 17238 is 2.

Also check out the Least Common Multiple of 17236 and 17238

Properties of GCF 17236 and 17238

(i) The GCF of 17236 and 17238 is associative

GCF of 17236 and 17238 = GCF of 17238 and 17236

Related Greatest Common Factor of 17236

Related Greatest Common Factor of 17238

Frequently Asked Questions on GCF of 17236 and 17238

1. What is the GCF of 17236 and 17238?

Answer: GCF of 17236 and 17238 is 2.

2. What are the Factors of 17236?

Answer: Factors of 17236 are 1, 2, 4, 31, 62, 124, 139, 278, 556, 4309, 8618, 17236. There are 12 integers that are factors of 17236. The greatest factor of 17236 is 17236.

3. 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.

4. How to Find the GCF of 17236 and 17238?

Answer:

Greatest Common Factor of 17236 and 17238 = 2

Step 1: Find the prime factorization of 17236

17236 = 2 x 2 x 31 x 139

Step 2: Find the prime factorization of 17238

17238 = 2 x 3 x 13 x 13 x 17

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 17236 and 17238 is 2