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 10249, 10254 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10249 and 10254 is 1.
GCF(10249,10254) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10249
37 | 10249 |
277 | 277 |
1 |
Prime factors of 10249 are 37,277. Prime factorization of 10249 in exponential form is:
10249 = 371×2771
Prime Factorization of 10254
2 | 10254 |
3 | 5127 |
1709 | 1709 |
1 |
Prime factors of 10254 are 2,3,1709. Prime factorization of 10254 in exponential form is:
10254 = 21×31×17091
∴ So by taking common prime factors GCF of 10249 and 10254 is 1
Factors of 10249
List of positive integer factors of 10249 that divides 10249 without a remainder.
1,37,277,10249
Factors of 10254
List of positive integer factors of 10254 that divides 10254 without a remainder.
1,2,3,6,1709,3418,5127,10254
Greatest Common Factor
We found the factors and prime factorization of 10249 and 10254. The biggest common factor number is the GCF number.
So the greatest common factor 10249 and 10254 is 1.
Also check out the Least Common Multiple of 10249 and 10254
(i) The GCF of 10249 and 10254 is associative
GCF of 10249 and 10254 = GCF of 10254 and 10249
1. What is the GCF of 10249 and 10254?
Answer: GCF of 10249 and 10254 is 1.
2. What are the Factors of 10249?
Answer: Factors of 10249 are 1, 37, 277, 10249. There are 4 integers that are factors of 10249. The greatest factor of 10249 is 10249.
3. What are the Factors of 10254?
Answer: Factors of 10254 are 1, 2, 3, 6, 1709, 3418, 5127, 10254. There are 8 integers that are factors of 10254. The greatest factor of 10254 is 10254.
4. How to Find the GCF of 10249 and 10254?
Answer:
Greatest Common Factor of 10249 and 10254 = 1
Step 1: Find the prime factorization of 10249
10249 = 37 x 277
Step 2: Find the prime factorization of 10254
10254 = 2 x 3 x 1709
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 10249 and 10254 is 1