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 12405, 12411 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 12405 and 12411 is 3.
GCF(12405,12411) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 12405
3 | 12405 |
5 | 4135 |
827 | 827 |
1 |
Prime factors of 12405 are 3,5,827. Prime factorization of 12405 in exponential form is:
12405 = 31×51×8271
Prime Factorization of 12411
3 | 12411 |
3 | 4137 |
7 | 1379 |
197 | 197 |
1 |
Prime factors of 12411 are 3,7,197. Prime factorization of 12411 in exponential form is:
12411 = 32×71×1971
∴ So by taking common prime factors GCF of 12405 and 12411 is 3
Factors of 12405
List of positive integer factors of 12405 that divides 12405 without a remainder.
1,3,5,15,827,2481,4135,12405
Factors of 12411
List of positive integer factors of 12411 that divides 12411 without a remainder.
1,3,7,9,21,63,197,591,1379,1773,4137,12411
Greatest Common Factor
We found the factors and prime factorization of 12405 and 12411. The biggest common factor number is the GCF number.
So the greatest common factor 12405 and 12411 is 3.
Also check out the Least Common Multiple of 12405 and 12411
(i) The GCF of 12405 and 12411 is associative
GCF of 12405 and 12411 = GCF of 12411 and 12405
1. What is the GCF of 12405 and 12411?
Answer: GCF of 12405 and 12411 is 3.
2. What are the Factors of 12405?
Answer: Factors of 12405 are 1, 3, 5, 15, 827, 2481, 4135, 12405. There are 8 integers that are factors of 12405. The greatest factor of 12405 is 12405.
3. What are the Factors of 12411?
Answer: Factors of 12411 are 1, 3, 7, 9, 21, 63, 197, 591, 1379, 1773, 4137, 12411. There are 12 integers that are factors of 12411. The greatest factor of 12411 is 12411.
4. How to Find the GCF of 12405 and 12411?
Answer:
Greatest Common Factor of 12405 and 12411 = 3
Step 1: Find the prime factorization of 12405
12405 = 3 x 5 x 827
Step 2: Find the prime factorization of 12411
12411 = 3 x 3 x 7 x 197
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 12405 and 12411 is 3