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 2401, 2409 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2401 and 2409 is 1.
GCF(2401,2409) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2401
7 | 2401 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 2401 are 7. Prime factorization of 2401 in exponential form is:
2401 = 74
Prime Factorization of 2409
3 | 2409 |
11 | 803 |
73 | 73 |
1 |
Prime factors of 2409 are 3.Prime factorization of 2409 in exponential form is:
2409 = 31×111×731
∴ So by taking common prime factors GCF of 2401 and 2409 is 1
Factors of 2401
List of positive integer factors of 2401 that divides 2401 without a remainder.
1,7,49,343,2401
Factors of 2409
List of positive integer factors of 2409 that divides 2409 without a remainder.
1,3,11,33,73,219,803,2409
Greatest Common Factor
We found the factors and prime factorization of 2401 and 2409. The biggest common factor number is the GCF number.
So the greatest common factor 2401 and 2409 is 1.
Also check out the Least Common Multiple of 2401 and 2409
(i) The GCF of 2401 and 2409 is associative
GCF of 2401 and 2409 = GCF of 2409 and 2401
1. What is the GCF of 2401 and 2409?
Answer: GCF of 2401 and 2409 is 1.
2. What are the Factors of 2401?
Answer: Factors of 2401 are 1, 7, 49, 343, 2401. There are 5 integers that are factors of 2401. The greatest factor of 2401 is 2401.
3. What are the Factors of 2409?
Answer: Factors of 2409 are 1, 3, 11, 33, 73, 219, 803, 2409. There are 8 integers that are factors of 2409. The greatest factor of 2409 is 2409.
4. How to Find the GCF of 2401 and 2409?
Answer:
Greatest Common Factor of 2401 and 2409 = 1
Step 1: Find the prime factorization of 2401
2401 = 7 x 7 x 7 x 7
Step 2: Find the prime factorization of 2409
2409 = 3 x 11 x 73
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 2401 and 2409 is 1