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, 8482 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8478 and 8482 is 2.
GCF(8478,8482) = 2
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 8482
2 | 8482 |
4241 | 4241 |
1 |
Prime factors of 8482 are 2,4241. Prime factorization of 8482 in exponential form is:
8482 = 21×42411
∴ So by taking common prime factors GCF of 8478 and 8482 is 2
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 8482
List of positive integer factors of 8482 that divides 8482 without a remainder.
1,2,4241,8482
Greatest Common Factor
We found the factors and prime factorization of 8478 and 8482. The biggest common factor number is the GCF number.
So the greatest common factor 8478 and 8482 is 2.
Also check out the Least Common Multiple of 8478 and 8482
(i) The GCF of 8478 and 8482 is associative
GCF of 8478 and 8482 = GCF of 8482 and 8478
1. What is the GCF of 8478 and 8482?
Answer: GCF of 8478 and 8482 is 2.
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 8482?
Answer: Factors of 8482 are 1, 2, 4241, 8482. There are 4 integers that are factors of 8482. The greatest factor of 8482 is 8482.
4. How to Find the GCF of 8478 and 8482?
Answer:
Greatest Common Factor of 8478 and 8482 = 2
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 8482
8482 = 2 x 4241
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8478 and 8482 is 2