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 8451, 8454 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8451 and 8454 is 3.
GCF(8451,8454) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8451
3 | 8451 |
3 | 2817 |
3 | 939 |
313 | 313 |
1 |
Prime factors of 8451 are 3,313. Prime factorization of 8451 in exponential form is:
8451 = 33×3131
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
∴ So by taking common prime factors GCF of 8451 and 8454 is 3
Factors of 8451
List of positive integer factors of 8451 that divides 8451 without a remainder.
1,3,9,27,313,939,2817,8451
Factors of 8454
List of positive integer factors of 8454 that divides 8454 without a remainder.
1,2,3,6,1409,2818,4227,8454
Greatest Common Factor
We found the factors and prime factorization of 8451 and 8454. The biggest common factor number is the GCF number.
So the greatest common factor 8451 and 8454 is 3.
Also check out the Least Common Multiple of 8451 and 8454
(i) The GCF of 8451 and 8454 is associative
GCF of 8451 and 8454 = GCF of 8454 and 8451
1. What is the GCF of 8451 and 8454?
Answer: GCF of 8451 and 8454 is 3.
2. What are the Factors of 8451?
Answer: Factors of 8451 are 1, 3, 9, 27, 313, 939, 2817, 8451. There are 8 integers that are factors of 8451. The greatest factor of 8451 is 8451.
3. 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.
4. How to Find the GCF of 8451 and 8454?
Answer:
Greatest Common Factor of 8451 and 8454 = 3
Step 1: Find the prime factorization of 8451
8451 = 3 x 3 x 3 x 313
Step 2: Find the prime factorization of 8454
8454 = 2 x 3 x 1409
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 8451 and 8454 is 3