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 8409, 8414 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8409 and 8414 is 1.
GCF(8409,8414) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8409
3 | 8409 |
2803 | 2803 |
1 |
Prime factors of 8409 are 3,2803. Prime factorization of 8409 in exponential form is:
8409 = 31×28031
Prime Factorization of 8414
2 | 8414 |
7 | 4207 |
601 | 601 |
1 |
Prime factors of 8414 are 2,7,601. Prime factorization of 8414 in exponential form is:
8414 = 21×71×6011
∴ So by taking common prime factors GCF of 8409 and 8414 is 1
Factors of 8409
List of positive integer factors of 8409 that divides 8409 without a remainder.
1,3,2803,8409
Factors of 8414
List of positive integer factors of 8414 that divides 8414 without a remainder.
1,2,7,14,601,1202,4207,8414
Greatest Common Factor
We found the factors and prime factorization of 8409 and 8414. The biggest common factor number is the GCF number.
So the greatest common factor 8409 and 8414 is 1.
Also check out the Least Common Multiple of 8409 and 8414
(i) The GCF of 8409 and 8414 is associative
GCF of 8409 and 8414 = GCF of 8414 and 8409
1. What is the GCF of 8409 and 8414?
Answer: GCF of 8409 and 8414 is 1.
2. What are the Factors of 8409?
Answer: Factors of 8409 are 1, 3, 2803, 8409. There are 4 integers that are factors of 8409. The greatest factor of 8409 is 8409.
3. What are the Factors of 8414?
Answer: Factors of 8414 are 1, 2, 7, 14, 601, 1202, 4207, 8414. There are 8 integers that are factors of 8414. The greatest factor of 8414 is 8414.
4. How to Find the GCF of 8409 and 8414?
Answer:
Greatest Common Factor of 8409 and 8414 = 1
Step 1: Find the prime factorization of 8409
8409 = 3 x 2803
Step 2: Find the prime factorization of 8414
8414 = 2 x 7 x 601
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 8409 and 8414 is 1