Greatest Common Factor of 8243 and 8250

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

GCF of 8243 and 8250

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 8243 and 8250

GCF of 8243 and 8250 is 1

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

Greatest Common Factor of 8243 and 8250 by matching factors method

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

Properties of GCF 8243 and 8250

(i) The GCF of 8243 and 8250 is associative

GCF of 8243 and 8250 = GCF of 8250 and 8243

Frequently Asked Questions on GCF of 8243 and 8250

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