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 8454, 8459 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8454 and 8459 is 1.
GCF(8454,8459) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8454
2 | 8454 |
3 | 4227 |
1409 | 1409 |
1 |
Prime factors of 8454 are 2,3,1409. Prime factorization of 8454 in exponential form is:
8454 = 21×31×14091
Prime Factorization of 8459
11 | 8459 |
769 | 769 |
1 |
Prime factors of 8459 are 11,769. Prime factorization of 8459 in exponential form is:
8459 = 111×7691
∴ So by taking common prime factors GCF of 8454 and 8459 is 1
Factors of 8454
List of positive integer factors of 8454 that divides 8454 without a remainder.
1,2,3,6,1409,2818,4227,8454
Factors of 8459
List of positive integer factors of 8459 that divides 8459 without a remainder.
1,11,769,8459
Greatest Common Factor
We found the factors and prime factorization of 8454 and 8459. The biggest common factor number is the GCF number.
So the greatest common factor 8454 and 8459 is 1.
Also check out the Least Common Multiple of 8454 and 8459
(i) The GCF of 8454 and 8459 is associative
GCF of 8454 and 8459 = GCF of 8459 and 8454
1. What is the GCF of 8454 and 8459?
Answer: GCF of 8454 and 8459 is 1.
2. What are the Factors of 8454?
Answer: Factors of 8454 are 1, 2, 3, 6, 1409, 2818, 4227, 8454. There are 8 integers that are factors of 8454. The greatest factor of 8454 is 8454.
3. What are the Factors of 8459?
Answer: Factors of 8459 are 1, 11, 769, 8459. There are 4 integers that are factors of 8459. The greatest factor of 8459 is 8459.
4. How to Find the GCF of 8454 and 8459?
Answer:
Greatest Common Factor of 8454 and 8459 = 1
Step 1: Find the prime factorization of 8454
8454 = 2 x 3 x 1409
Step 2: Find the prime factorization of 8459
8459 = 11 x 769
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 8454 and 8459 is 1