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 4317, 4325 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4317 and 4325 is 1.
GCF(4317,4325) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 4325
5 | 4325 |
5 | 865 |
173 | 173 |
1 |
Prime factors of 4325 are 5,173. Prime factorization of 4325 in exponential form is:
4325 = 52×1731
∴ So by taking common prime factors GCF of 4317 and 4325 is 1
Factors of 4317
List of positive integer factors of 4317 that divides 4317 without a remainder.
1,3,1439,4317
Factors of 4325
List of positive integer factors of 4325 that divides 4325 without a remainder.
1,5,25,173,865,4325
Greatest Common Factor
We found the factors and prime factorization of 4317 and 4325. The biggest common factor number is the GCF number.
So the greatest common factor 4317 and 4325 is 1.
Also check out the Least Common Multiple of 4317 and 4325
(i) The GCF of 4317 and 4325 is associative
GCF of 4317 and 4325 = GCF of 4325 and 4317
1. What is the GCF of 4317 and 4325?
Answer: GCF of 4317 and 4325 is 1.
2. 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.
3. What are the Factors of 4325?
Answer: Factors of 4325 are 1, 5, 25, 173, 865, 4325. There are 6 integers that are factors of 4325. The greatest factor of 4325 is 4325.
4. How to Find the GCF of 4317 and 4325?
Answer:
Greatest Common Factor of 4317 and 4325 = 1
Step 1: Find the prime factorization of 4317
4317 = 3 x 1439
Step 2: Find the prime factorization of 4325
4325 = 5 x 5 x 173
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 4317 and 4325 is 1