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 227, 231 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 227 and 231 is 1.
GCF(227,231) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 227
227 | 227 |
1 |
Prime factors of 227 are 227. Prime factorization of 227 in exponential form is:
227 = 2271
Prime Factorization of 231
3 | 231 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 231 are 3.Prime factorization of 231 in exponential form is:
231 = 31×71×111
∴ So by taking common prime factors GCF of 227 and 231 is 1
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors and prime factorization of 227 and 231. The biggest common factor number is the GCF number.
So the greatest common factor 227 and 231 is 1.
Also check out the Least Common Multiple of 227 and 231
(i) The GCF of 227 and 231 is associative
GCF of 227 and 231 = GCF of 231 and 227
1. What is the GCF of 227 and 231?
Answer: GCF of 227 and 231 is 1.
2. What are the Factors of 227?
Answer: Factors of 227 are 1, 227. There are 2 integers that are factors of 227. The greatest factor of 227 is 227.
3. 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.
4. How to Find the GCF of 227 and 231?
Answer:
Greatest Common Factor of 227 and 231 = 1
Step 1: Find the prime factorization of 227
227 = 227
Step 2: Find the prime factorization of 231
231 = 3 x 7 x 11
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 227 and 231 is 1