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 230, 237 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 230 and 237 is 1.
GCF(230,237) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 230
2 | 230 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 230 are 2,5,23. Prime factorization of 230 in exponential form is:
230 = 21×51×231
Prime Factorization of 237
3 | 237 |
79 | 79 |
1 |
Prime factors of 237 are 3,79. Prime factorization of 237 in exponential form is:
237 = 31×791
∴ So by taking common prime factors GCF of 230 and 237 is 1
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Greatest Common Factor
We found the factors and prime factorization of 230 and 237. The biggest common factor number is the GCF number.
So the greatest common factor 230 and 237 is 1.
Also check out the Least Common Multiple of 230 and 237
(i) The GCF of 230 and 237 is associative
GCF of 230 and 237 = GCF of 237 and 230
1. What is the GCF of 230 and 237?
Answer: GCF of 230 and 237 is 1.
2. What are the Factors of 230?
Answer: Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230. There are 8 integers that are factors of 230. The greatest factor of 230 is 230.
3. What are the Factors of 237?
Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.
4. How to Find the GCF of 230 and 237?
Answer:
Greatest Common Factor of 230 and 237 = 1
Step 1: Find the prime factorization of 230
230 = 2 x 5 x 23
Step 2: Find the prime factorization of 237
237 = 3 x 79
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 230 and 237 is 1