Greatest Common Factor of 8250 and 8256

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 8250, 8256 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8250 and 8256 is 6.

GCF(8250,8256) = 6

GCF of 8250 and 8256

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

GCF of:
and

Greatest Common Factor of 8250 and 8256

GCF of 8250 and 8256 is 6

Prime Factorization of 8250


2 8250
3 4125
5 1375
5 275
5 55
11 11
1

Prime factors of 8250 are 2,3,5,11. Prime factorization of 8250 in exponential form is:

8250 = 21×31×53×111

Prime Factorization of 8256


2 8256
2 4128
2 2064
2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 8256 are 2,3,43. Prime factorization of 8256 in exponential form is:

8256 = 26×31×431

∴ So by taking common prime factors GCF of 8250 and 8256 is 6

Greatest Common Factor of 8250 and 8256 by matching factors method

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

Factors of 8256

List of positive integer factors of 8256 that divides 8256 without a remainder.

1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256

Greatest Common Factor

We found the factors and prime factorization of 8250 and 8256. The biggest common factor number is the GCF number.
So the greatest common factor 8250 and 8256 is 6.

Also check out the Least Common Multiple of 8250 and 8256

Properties of GCF 8250 and 8256

(i) The GCF of 8250 and 8256 is associative

GCF of 8250 and 8256 = GCF of 8256 and 8250

Related Greatest Common Factor of 8250

Related Greatest Common Factor of 8256

Frequently Asked Questions on GCF of 8250 and 8256

1. What is the GCF of 8250 and 8256?

Answer: GCF of 8250 and 8256 is 6.

2. 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.

3. What are the Factors of 8256?

Answer: Factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256. There are 28 integers that are factors of 8256. The greatest factor of 8256 is 8256.

4. How to Find the GCF of 8250 and 8256?

Answer:

Greatest Common Factor of 8250 and 8256 = 6

Step 1: Find the prime factorization of 8250

8250 = 2 x 3 x 5 x 5 x 5 x 11

Step 2: Find the prime factorization of 8256

8256 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8250 and 8256 is 6