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 8473, 8478 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8473 and 8478 is 1.
GCF(8473,8478) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8473
37 | 8473 |
229 | 229 |
1 |
Prime factors of 8473 are 37,229. Prime factorization of 8473 in exponential form is:
8473 = 371×2291
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
∴ So by taking common prime factors GCF of 8473 and 8478 is 1
Factors of 8473
List of positive integer factors of 8473 that divides 8473 without a remainder.
1,37,229,8473
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
Greatest Common Factor
We found the factors and prime factorization of 8473 and 8478. The biggest common factor number is the GCF number.
So the greatest common factor 8473 and 8478 is 1.
Also check out the Least Common Multiple of 8473 and 8478
(i) The GCF of 8473 and 8478 is associative
GCF of 8473 and 8478 = GCF of 8478 and 8473
1. What is the GCF of 8473 and 8478?
Answer: GCF of 8473 and 8478 is 1.
2. What are the Factors of 8473?
Answer: Factors of 8473 are 1, 37, 229, 8473. There are 4 integers that are factors of 8473. The greatest factor of 8473 is 8473.
3. 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.
4. How to Find the GCF of 8473 and 8478?
Answer:
Greatest Common Factor of 8473 and 8478 = 1
Step 1: Find the prime factorization of 8473
8473 = 37 x 229
Step 2: Find the prime factorization of 8478
8478 = 2 x 3 x 3 x 3 x 157
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 8473 and 8478 is 1