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 4310, 4317 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4310 and 4317 is 1.
GCF(4310,4317) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4310
2 | 4310 |
5 | 2155 |
431 | 431 |
1 |
Prime factors of 4310 are 2,5,431. Prime factorization of 4310 in exponential form is:
4310 = 21×51×4311
Prime Factorization of 4317
3 | 4317 |
1439 | 1439 |
1 |
Prime factors of 4317 are 3,1439. Prime factorization of 4317 in exponential form is:
4317 = 31×14391
∴ So by taking common prime factors GCF of 4310 and 4317 is 1
Factors of 4310
List of positive integer factors of 4310 that divides 4310 without a remainder.
1,2,5,10,431,862,2155,4310
Factors of 4317
List of positive integer factors of 4317 that divides 4317 without a remainder.
1,3,1439,4317
Greatest Common Factor
We found the factors and prime factorization of 4310 and 4317. The biggest common factor number is the GCF number.
So the greatest common factor 4310 and 4317 is 1.
Also check out the Least Common Multiple of 4310 and 4317
(i) The GCF of 4310 and 4317 is associative
GCF of 4310 and 4317 = GCF of 4317 and 4310
1. What is the GCF of 4310 and 4317?
Answer: GCF of 4310 and 4317 is 1.
2. What are the Factors of 4310?
Answer: Factors of 4310 are 1, 2, 5, 10, 431, 862, 2155, 4310. There are 8 integers that are factors of 4310. The greatest factor of 4310 is 4310.
3. What are the Factors of 4317?
Answer: Factors of 4317 are 1, 3, 1439, 4317. There are 4 integers that are factors of 4317. The greatest factor of 4317 is 4317.
4. How to Find the GCF of 4310 and 4317?
Answer:
Greatest Common Factor of 4310 and 4317 = 1
Step 1: Find the prime factorization of 4310
4310 = 2 x 5 x 431
Step 2: Find the prime factorization of 4317
4317 = 3 x 1439
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 4310 and 4317 is 1