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 17231, 17234 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17231 and 17234 is 1.
GCF(17231,17234) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 17231
17231 | 17231 |
1 |
Prime factors of 17231 are 17231. Prime factorization of 17231 in exponential form is:
17231 = 172311
Prime Factorization of 17234
2 | 17234 |
7 | 8617 |
1231 | 1231 |
1 |
Prime factors of 17234 are 2.Prime factorization of 17234 in exponential form is:
17234 = 21×71×12311
∴ So by taking common prime factors GCF of 17231 and 17234 is 1
Factors of 17231
List of positive integer factors of 17231 that divides 17231 without a remainder.
1,17231
Factors of 17234
List of positive integer factors of 17234 that divides 17234 without a remainder.
1,2,7,14,1231,2462,8617,17234
Greatest Common Factor
We found the factors and prime factorization of 17231 and 17234. The biggest common factor number is the GCF number.
So the greatest common factor 17231 and 17234 is 1.
Also check out the Least Common Multiple of 17231 and 17234
(i) The GCF of 17231 and 17234 is associative
GCF of 17231 and 17234 = GCF of 17234 and 17231
1. What is the GCF of 17231 and 17234?
Answer: GCF of 17231 and 17234 is 1.
2. What are the Factors of 17231?
Answer: Factors of 17231 are 1, 17231. There are 2 integers that are factors of 17231. The greatest factor of 17231 is 17231.
3. 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.
4. How to Find the GCF of 17231 and 17234?
Answer:
Greatest Common Factor of 17231 and 17234 = 1
Step 1: Find the prime factorization of 17231
17231 = 17231
Step 2: Find the prime factorization of 17234
17234 = 2 x 7 x 1231
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 17231 and 17234 is 1