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 4245, 4249 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4245 and 4249 is 1.
GCF(4245,4249) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4245
3 | 4245 |
5 | 1415 |
283 | 283 |
1 |
Prime factors of 4245 are 3,5,283. Prime factorization of 4245 in exponential form is:
4245 = 31×51×2831
Prime Factorization of 4249
7 | 4249 |
607 | 607 |
1 |
Prime factors of 4249 are 7,607. Prime factorization of 4249 in exponential form is:
4249 = 71×6071
∴ So by taking common prime factors GCF of 4245 and 4249 is 1
Factors of 4245
List of positive integer factors of 4245 that divides 4245 without a remainder.
1,3,5,15,283,849,1415,4245
Factors of 4249
List of positive integer factors of 4249 that divides 4249 without a remainder.
1,7,607,4249
Greatest Common Factor
We found the factors and prime factorization of 4245 and 4249. The biggest common factor number is the GCF number.
So the greatest common factor 4245 and 4249 is 1.
Also check out the Least Common Multiple of 4245 and 4249
(i) The GCF of 4245 and 4249 is associative
GCF of 4245 and 4249 = GCF of 4249 and 4245
1. What is the GCF of 4245 and 4249?
Answer: GCF of 4245 and 4249 is 1.
2. What are the Factors of 4245?
Answer: Factors of 4245 are 1, 3, 5, 15, 283, 849, 1415, 4245. There are 8 integers that are factors of 4245. The greatest factor of 4245 is 4245.
3. What are the Factors of 4249?
Answer: Factors of 4249 are 1, 7, 607, 4249. There are 4 integers that are factors of 4249. The greatest factor of 4249 is 4249.
4. How to Find the GCF of 4245 and 4249?
Answer:
Greatest Common Factor of 4245 and 4249 = 1
Step 1: Find the prime factorization of 4245
4245 = 3 x 5 x 283
Step 2: Find the prime factorization of 4249
4249 = 7 x 607
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 4245 and 4249 is 1