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 231, 234 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 231 and 234 is 3.
GCF(231,234) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 231
3 | 231 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 231 are 3,7,11. Prime factorization of 231 in exponential form is:
231 = 31×71×111
Prime Factorization of 234
2 | 234 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 234 are 2,3,13. Prime factorization of 234 in exponential form is:
234 = 21×32×131
∴ So by taking common prime factors GCF of 231 and 234 is 3
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors and prime factorization of 231 and 234. The biggest common factor number is the GCF number.
So the greatest common factor 231 and 234 is 3.
Also check out the Least Common Multiple of 231 and 234
(i) The GCF of 231 and 234 is associative
GCF of 231 and 234 = GCF of 234 and 231
1. What is the GCF of 231 and 234?
Answer: GCF of 231 and 234 is 3.
2. What are the Factors of 231?
Answer: Factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231. There are 8 integers that are factors of 231. The greatest factor of 231 is 231.
3. What are the Factors of 234?
Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.
4. How to Find the GCF of 231 and 234?
Answer:
Greatest Common Factor of 231 and 234 = 3
Step 1: Find the prime factorization of 231
231 = 3 x 7 x 11
Step 2: Find the prime factorization of 234
234 = 2 x 3 x 3 x 13
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 231 and 234 is 3