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 8470, 8473 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8470 and 8473 is 1.
GCF(8470,8473) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8470
2 | 8470 |
5 | 4235 |
7 | 847 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 8470 are 2,5,7,11. Prime factorization of 8470 in exponential form is:
8470 = 21×51×71×112
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
∴ So by taking common prime factors GCF of 8470 and 8473 is 1
Factors of 8470
List of positive integer factors of 8470 that divides 8470 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Factors of 8473
List of positive integer factors of 8473 that divides 8473 without a remainder.
1,37,229,8473
Greatest Common Factor
We found the factors and prime factorization of 8470 and 8473. The biggest common factor number is the GCF number.
So the greatest common factor 8470 and 8473 is 1.
Also check out the Least Common Multiple of 8470 and 8473
(i) The GCF of 8470 and 8473 is associative
GCF of 8470 and 8473 = GCF of 8473 and 8470
1. What is the GCF of 8470 and 8473?
Answer: GCF of 8470 and 8473 is 1.
2. What are the Factors of 8470?
Answer: Factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470. There are 24 integers that are factors of 8470. The greatest factor of 8470 is 8470.
3. 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.
4. How to Find the GCF of 8470 and 8473?
Answer:
Greatest Common Factor of 8470 and 8473 = 1
Step 1: Find the prime factorization of 8470
8470 = 2 x 5 x 7 x 11 x 11
Step 2: Find the prime factorization of 8473
8473 = 37 x 229
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 8470 and 8473 is 1