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 4295, 4298 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4295 and 4298 is 1.
GCF(4295,4298) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4295
5 | 4295 |
859 | 859 |
1 |
Prime factors of 4295 are 5,859. Prime factorization of 4295 in exponential form is:
4295 = 51×8591
Prime Factorization of 4298
2 | 4298 |
7 | 2149 |
307 | 307 |
1 |
Prime factors of 4298 are 2,7,307. Prime factorization of 4298 in exponential form is:
4298 = 21×71×3071
∴ So by taking common prime factors GCF of 4295 and 4298 is 1
Factors of 4295
List of positive integer factors of 4295 that divides 4295 without a remainder.
1,5,859,4295
Factors of 4298
List of positive integer factors of 4298 that divides 4298 without a remainder.
1,2,7,14,307,614,2149,4298
Greatest Common Factor
We found the factors and prime factorization of 4295 and 4298. The biggest common factor number is the GCF number.
So the greatest common factor 4295 and 4298 is 1.
Also check out the Least Common Multiple of 4295 and 4298
(i) The GCF of 4295 and 4298 is associative
GCF of 4295 and 4298 = GCF of 4298 and 4295
1. What is the GCF of 4295 and 4298?
Answer: GCF of 4295 and 4298 is 1.
2. What are the Factors of 4295?
Answer: Factors of 4295 are 1, 5, 859, 4295. There are 4 integers that are factors of 4295. The greatest factor of 4295 is 4295.
3. What are the Factors of 4298?
Answer: Factors of 4298 are 1, 2, 7, 14, 307, 614, 2149, 4298. There are 8 integers that are factors of 4298. The greatest factor of 4298 is 4298.
4. How to Find the GCF of 4295 and 4298?
Answer:
Greatest Common Factor of 4295 and 4298 = 1
Step 1: Find the prime factorization of 4295
4295 = 5 x 859
Step 2: Find the prime factorization of 4298
4298 = 2 x 7 x 307
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 4295 and 4298 is 1