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 237, 241 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 237 and 241 is 1.
GCF(237,241) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 241
241 | 241 |
1 |
Prime factors of 241 are 241. Prime factorization of 241 in exponential form is:
241 = 2411
∴ So by taking common prime factors GCF of 237 and 241 is 1
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Greatest Common Factor
We found the factors and prime factorization of 237 and 241. The biggest common factor number is the GCF number.
So the greatest common factor 237 and 241 is 1.
Also check out the Least Common Multiple of 237 and 241
(i) The GCF of 237 and 241 is associative
GCF of 237 and 241 = GCF of 241 and 237
1. What is the GCF of 237 and 241?
Answer: GCF of 237 and 241 is 1.
2. 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.
3. What are the Factors of 241?
Answer: Factors of 241 are 1, 241. There are 2 integers that are factors of 241. The greatest factor of 241 is 241.
4. How to Find the GCF of 237 and 241?
Answer:
Greatest Common Factor of 237 and 241 = 1
Step 1: Find the prime factorization of 237
237 = 3 x 79
Step 2: Find the prime factorization of 241
241 = 241
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 237 and 241 is 1