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 2331, 2335 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2331 and 2335 is 1.
GCF(2331,2335) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2331
3 | 2331 |
3 | 777 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 2331 are 3,7,37. Prime factorization of 2331 in exponential form is:
2331 = 32×71×371
Prime Factorization of 2335
5 | 2335 |
467 | 467 |
1 |
Prime factors of 2335 are 5,467. Prime factorization of 2335 in exponential form is:
2335 = 51×4671
∴ So by taking common prime factors GCF of 2331 and 2335 is 1
Factors of 2331
List of positive integer factors of 2331 that divides 2331 without a remainder.
1,3,7,9,21,37,63,111,259,333,777,2331
Factors of 2335
List of positive integer factors of 2335 that divides 2335 without a remainder.
1,5,467,2335
Greatest Common Factor
We found the factors and prime factorization of 2331 and 2335. The biggest common factor number is the GCF number.
So the greatest common factor 2331 and 2335 is 1.
Also check out the Least Common Multiple of 2331 and 2335
(i) The GCF of 2331 and 2335 is associative
GCF of 2331 and 2335 = GCF of 2335 and 2331
1. What is the GCF of 2331 and 2335?
Answer: GCF of 2331 and 2335 is 1.
2. What are the Factors of 2331?
Answer: Factors of 2331 are 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777, 2331. There are 12 integers that are factors of 2331. The greatest factor of 2331 is 2331.
3. What are the Factors of 2335?
Answer: Factors of 2335 are 1, 5, 467, 2335. There are 4 integers that are factors of 2335. The greatest factor of 2335 is 2335.
4. How to Find the GCF of 2331 and 2335?
Answer:
Greatest Common Factor of 2331 and 2335 = 1
Step 1: Find the prime factorization of 2331
2331 = 3 x 3 x 7 x 37
Step 2: Find the prime factorization of 2335
2335 = 5 x 467
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 2331 and 2335 is 1