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 17234, 17238 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17234 and 17238 is 2.
GCF(17234,17238) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 17234
2 | 17234 |
7 | 8617 |
1231 | 1231 |
1 |
Prime factors of 17234 are 2,7,1231. Prime factorization of 17234 in exponential form is:
17234 = 21×71×12311
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 17234 and 17238 is 2
Factors of 17234
List of positive integer factors of 17234 that divides 17234 without a remainder.
1,2,7,14,1231,2462,8617,17234
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 17234 and 17238. The biggest common factor number is the GCF number.
So the greatest common factor 17234 and 17238 is 2.
Also check out the Least Common Multiple of 17234 and 17238
(i) The GCF of 17234 and 17238 is associative
GCF of 17234 and 17238 = GCF of 17238 and 17234
1. What is the GCF of 17234 and 17238?
Answer: GCF of 17234 and 17238 is 2.
2. What are the Factors of 17234?
Answer: Factors of 17234 are 1, 2, 7, 14, 1231, 2462, 8617, 17234. There are 8 integers that are factors of 17234. The greatest factor of 17234 is 17234.
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 17234 and 17238?
Answer:
Greatest Common Factor of 17234 and 17238 = 2
Step 1: Find the prime factorization of 17234
17234 = 2 x 7 x 1231
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 17234 and 17238 is 2