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 10245, 10250 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10245 and 10250 is 5.
GCF(10245,10250) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10245
3 | 10245 |
5 | 3415 |
683 | 683 |
1 |
Prime factors of 10245 are 3,5,683. Prime factorization of 10245 in exponential form is:
10245 = 31×51×6831
Prime Factorization of 10250
2 | 10250 |
5 | 5125 |
5 | 1025 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 10250 are 2,5,41. Prime factorization of 10250 in exponential form is:
10250 = 21×53×411
∴ So by taking common prime factors GCF of 10245 and 10250 is 5
Factors of 10245
List of positive integer factors of 10245 that divides 10245 without a remainder.
1,3,5,15,683,2049,3415,10245
Factors of 10250
List of positive integer factors of 10250 that divides 10250 without a remainder.
1,2,5,10,25,41,50,82,125,205,250,410,1025,2050,5125,10250
Greatest Common Factor
We found the factors and prime factorization of 10245 and 10250. The biggest common factor number is the GCF number.
So the greatest common factor 10245 and 10250 is 5.
Also check out the Least Common Multiple of 10245 and 10250
(i) The GCF of 10245 and 10250 is associative
GCF of 10245 and 10250 = GCF of 10250 and 10245
1. What is the GCF of 10245 and 10250?
Answer: GCF of 10245 and 10250 is 5.
2. What are the Factors of 10245?
Answer: Factors of 10245 are 1, 3, 5, 15, 683, 2049, 3415, 10245. There are 8 integers that are factors of 10245. The greatest factor of 10245 is 10245.
3. What are the Factors of 10250?
Answer: Factors of 10250 are 1, 2, 5, 10, 25, 41, 50, 82, 125, 205, 250, 410, 1025, 2050, 5125, 10250. There are 16 integers that are factors of 10250. The greatest factor of 10250 is 10250.
4. How to Find the GCF of 10245 and 10250?
Answer:
Greatest Common Factor of 10245 and 10250 = 5
Step 1: Find the prime factorization of 10245
10245 = 3 x 5 x 683
Step 2: Find the prime factorization of 10250
10250 = 2 x 5 x 5 x 5 x 41
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 10245 and 10250 is 5