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, 10253 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10245 and 10253 is 1.
GCF(10245,10253) = 1
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 10253
10253 | 10253 |
1 |
Prime factors of 10253 are 10253. Prime factorization of 10253 in exponential form is:
10253 = 102531
∴ So by taking common prime factors GCF of 10245 and 10253 is 1
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 10253
List of positive integer factors of 10253 that divides 10253 without a remainder.
1,10253
Greatest Common Factor
We found the factors and prime factorization of 10245 and 10253. The biggest common factor number is the GCF number.
So the greatest common factor 10245 and 10253 is 1.
Also check out the Least Common Multiple of 10245 and 10253
(i) The GCF of 10245 and 10253 is associative
GCF of 10245 and 10253 = GCF of 10253 and 10245
1. What is the GCF of 10245 and 10253?
Answer: GCF of 10245 and 10253 is 1.
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 10253?
Answer: Factors of 10253 are 1, 10253. There are 2 integers that are factors of 10253. The greatest factor of 10253 is 10253.
4. How to Find the GCF of 10245 and 10253?
Answer:
Greatest Common Factor of 10245 and 10253 = 1
Step 1: Find the prime factorization of 10245
10245 = 3 x 5 x 683
Step 2: Find the prime factorization of 10253
10253 = 10253
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 10245 and 10253 is 1