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 2405, 2411 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2405 and 2411 is 1.
GCF(2405,2411) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2405
5 | 2405 |
13 | 481 |
37 | 37 |
1 |
Prime factors of 2405 are 5,13,37. Prime factorization of 2405 in exponential form is:
2405 = 51×131×371
Prime Factorization of 2411
2411 | 2411 |
1 |
Prime factors of 2411 are 2411. Prime factorization of 2411 in exponential form is:
2411 = 24111
∴ So by taking common prime factors GCF of 2405 and 2411 is 1
Factors of 2405
List of positive integer factors of 2405 that divides 2405 without a remainder.
1,5,13,37,65,185,481,2405
Factors of 2411
List of positive integer factors of 2411 that divides 2411 without a remainder.
1,2411
Greatest Common Factor
We found the factors and prime factorization of 2405 and 2411. The biggest common factor number is the GCF number.
So the greatest common factor 2405 and 2411 is 1.
Also check out the Least Common Multiple of 2405 and 2411
(i) The GCF of 2405 and 2411 is associative
GCF of 2405 and 2411 = GCF of 2411 and 2405
1. What is the GCF of 2405 and 2411?
Answer: GCF of 2405 and 2411 is 1.
2. What are the Factors of 2405?
Answer: Factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405. There are 8 integers that are factors of 2405. The greatest factor of 2405 is 2405.
3. What are the Factors of 2411?
Answer: Factors of 2411 are 1, 2411. There are 2 integers that are factors of 2411. The greatest factor of 2411 is 2411.
4. How to Find the GCF of 2405 and 2411?
Answer:
Greatest Common Factor of 2405 and 2411 = 1
Step 1: Find the prime factorization of 2405
2405 = 5 x 13 x 37
Step 2: Find the prime factorization of 2411
2411 = 2411
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 2405 and 2411 is 1