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 8243, 8250 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8243 and 8250 is 1.
GCF(8243,8250) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8243
8243 | 8243 |
1 |
Prime factors of 8243 are 8243. Prime factorization of 8243 in exponential form is:
8243 = 82431
Prime Factorization of 8250
2 | 8250 |
3 | 4125 |
5 | 1375 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 8250 are 2.Prime factorization of 8250 in exponential form is:
8250 = 21×31×53×111
∴ So by taking common prime factors GCF of 8243 and 8250 is 1
Factors of 8243
List of positive integer factors of 8243 that divides 8243 without a remainder.
1,8243
Factors of 8250
List of positive integer factors of 8250 that divides 8250 without a remainder.
1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250
Greatest Common Factor
We found the factors and prime factorization of 8243 and 8250. The biggest common factor number is the GCF number.
So the greatest common factor 8243 and 8250 is 1.
Also check out the Least Common Multiple of 8243 and 8250
(i) The GCF of 8243 and 8250 is associative
GCF of 8243 and 8250 = GCF of 8250 and 8243
1. What is the GCF of 8243 and 8250?
Answer: GCF of 8243 and 8250 is 1.
2. What are the Factors of 8243?
Answer: Factors of 8243 are 1, 8243. There are 2 integers that are factors of 8243. The greatest factor of 8243 is 8243.
3. What are the Factors of 8250?
Answer: Factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250. There are 32 integers that are factors of 8250. The greatest factor of 8250 is 8250.
4. How to Find the GCF of 8243 and 8250?
Answer:
Greatest Common Factor of 8243 and 8250 = 1
Step 1: Find the prime factorization of 8243
8243 = 8243
Step 2: Find the prime factorization of 8250
8250 = 2 x 3 x 5 x 5 x 5 x 11
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 8243 and 8250 is 1