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 8237, 8241 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8237 and 8241 is 1.
GCF(8237,8241) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8237
8237 | 8237 |
1 |
Prime factors of 8237 are 8237. Prime factorization of 8237 in exponential form is:
8237 = 82371
Prime Factorization of 8241
3 | 8241 |
41 | 2747 |
67 | 67 |
1 |
Prime factors of 8241 are 3.Prime factorization of 8241 in exponential form is:
8241 = 31×411×671
∴ So by taking common prime factors GCF of 8237 and 8241 is 1
Factors of 8237
List of positive integer factors of 8237 that divides 8237 without a remainder.
1,8237
Factors of 8241
List of positive integer factors of 8241 that divides 8241 without a remainder.
1,3,41,67,123,201,2747,8241
Greatest Common Factor
We found the factors and prime factorization of 8237 and 8241. The biggest common factor number is the GCF number.
So the greatest common factor 8237 and 8241 is 1.
Also check out the Least Common Multiple of 8237 and 8241
(i) The GCF of 8237 and 8241 is associative
GCF of 8237 and 8241 = GCF of 8241 and 8237
1. What is the GCF of 8237 and 8241?
Answer: GCF of 8237 and 8241 is 1.
2. What are the Factors of 8237?
Answer: Factors of 8237 are 1, 8237. There are 2 integers that are factors of 8237. The greatest factor of 8237 is 8237.
3. What are the Factors of 8241?
Answer: Factors of 8241 are 1, 3, 41, 67, 123, 201, 2747, 8241. There are 8 integers that are factors of 8241. The greatest factor of 8241 is 8241.
4. How to Find the GCF of 8237 and 8241?
Answer:
Greatest Common Factor of 8237 and 8241 = 1
Step 1: Find the prime factorization of 8237
8237 = 8237
Step 2: Find the prime factorization of 8241
8241 = 3 x 41 x 67
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 8237 and 8241 is 1