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, 8255 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8250 and 8255 is 5.
GCF(8250,8255) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 8255
5 | 8255 |
13 | 1651 |
127 | 127 |
1 |
Prime factors of 8255 are 5,13,127. Prime factorization of 8255 in exponential form is:
8255 = 51×131×1271
∴ So by taking common prime factors GCF of 8250 and 8255 is 5
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 8255
List of positive integer factors of 8255 that divides 8255 without a remainder.
1,5,13,65,127,635,1651,8255
Greatest Common Factor
We found the factors and prime factorization of 8250 and 8255. The biggest common factor number is the GCF number.
So the greatest common factor 8250 and 8255 is 5.
Also check out the Least Common Multiple of 8250 and 8255
(i) The GCF of 8250 and 8255 is associative
GCF of 8250 and 8255 = GCF of 8255 and 8250
1. What is the GCF of 8250 and 8255?
Answer: GCF of 8250 and 8255 is 5.
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 8255?
Answer: Factors of 8255 are 1, 5, 13, 65, 127, 635, 1651, 8255. There are 8 integers that are factors of 8255. The greatest factor of 8255 is 8255.
4. How to Find the GCF of 8250 and 8255?
Answer:
Greatest Common Factor of 8250 and 8255 = 5
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 8255
8255 = 5 x 13 x 127
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 8250 and 8255 is 5