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 8478, 8483 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8478 and 8483 is 1.
GCF(8478,8483) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8478
2 | 8478 |
3 | 4239 |
3 | 1413 |
3 | 471 |
157 | 157 |
1 |
Prime factors of 8478 are 2,3,157. Prime factorization of 8478 in exponential form is:
8478 = 21×33×1571
Prime Factorization of 8483
17 | 8483 |
499 | 499 |
1 |
Prime factors of 8483 are 17,499. Prime factorization of 8483 in exponential form is:
8483 = 171×4991
∴ So by taking common prime factors GCF of 8478 and 8483 is 1
Factors of 8478
List of positive integer factors of 8478 that divides 8478 without a remainder.
1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478
Factors of 8483
List of positive integer factors of 8483 that divides 8483 without a remainder.
1,17,499,8483
Greatest Common Factor
We found the factors and prime factorization of 8478 and 8483. The biggest common factor number is the GCF number.
So the greatest common factor 8478 and 8483 is 1.
Also check out the Least Common Multiple of 8478 and 8483
(i) The GCF of 8478 and 8483 is associative
GCF of 8478 and 8483 = GCF of 8483 and 8478
1. What is the GCF of 8478 and 8483?
Answer: GCF of 8478 and 8483 is 1.
2. What are the Factors of 8478?
Answer: Factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478. There are 16 integers that are factors of 8478. The greatest factor of 8478 is 8478.
3. What are the Factors of 8483?
Answer: Factors of 8483 are 1, 17, 499, 8483. There are 4 integers that are factors of 8483. The greatest factor of 8483 is 8483.
4. How to Find the GCF of 8478 and 8483?
Answer:
Greatest Common Factor of 8478 and 8483 = 1
Step 1: Find the prime factorization of 8478
8478 = 2 x 3 x 3 x 3 x 157
Step 2: Find the prime factorization of 8483
8483 = 17 x 499
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 8478 and 8483 is 1