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, 17242 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17234 and 17242 is 2.
GCF(17234,17242) = 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 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 17234 and 17242 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 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 17234 and 17242. The biggest common factor number is the GCF number.
So the greatest common factor 17234 and 17242 is 2.
Also check out the Least Common Multiple of 17234 and 17242
(i) The GCF of 17234 and 17242 is associative
GCF of 17234 and 17242 = GCF of 17242 and 17234
1. What is the GCF of 17234 and 17242?
Answer: GCF of 17234 and 17242 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 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 17234 and 17242?
Answer:
Greatest Common Factor of 17234 and 17242 = 2
Step 1: Find the prime factorization of 17234
17234 = 2 x 7 x 1231
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 17234 and 17242 is 2