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 2403, 2409 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2403 and 2409 is 3.
GCF(2403,2409) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2403
3 | 2403 |
3 | 801 |
3 | 267 |
89 | 89 |
1 |
Prime factors of 2403 are 3,89. Prime factorization of 2403 in exponential form is:
2403 = 33×891
Prime Factorization of 2409
3 | 2409 |
11 | 803 |
73 | 73 |
1 |
Prime factors of 2409 are 3,11,73. Prime factorization of 2409 in exponential form is:
2409 = 31×111×731
∴ So by taking common prime factors GCF of 2403 and 2409 is 3
Factors of 2403
List of positive integer factors of 2403 that divides 2403 without a remainder.
1,3,9,27,89,267,801,2403
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 2403 and 2409. The biggest common factor number is the GCF number.
So the greatest common factor 2403 and 2409 is 3.
Also check out the Least Common Multiple of 2403 and 2409
(i) The GCF of 2403 and 2409 is associative
GCF of 2403 and 2409 = GCF of 2409 and 2403
1. What is the GCF of 2403 and 2409?
Answer: GCF of 2403 and 2409 is 3.
2. What are the Factors of 2403?
Answer: Factors of 2403 are 1, 3, 9, 27, 89, 267, 801, 2403. There are 8 integers that are factors of 2403. The greatest factor of 2403 is 2403.
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 2403 and 2409?
Answer:
Greatest Common Factor of 2403 and 2409 = 3
Step 1: Find the prime factorization of 2403
2403 = 3 x 3 x 3 x 89
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 = 3
Step 4: Therefore, the greatest common factor of 2403 and 2409 is 3