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 4390, 4395 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4390 and 4395 is 5.
GCF(4390,4395) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4390
2 | 4390 |
5 | 2195 |
439 | 439 |
1 |
Prime factors of 4390 are 2,5,439. Prime factorization of 4390 in exponential form is:
4390 = 21×51×4391
Prime Factorization of 4395
3 | 4395 |
5 | 1465 |
293 | 293 |
1 |
Prime factors of 4395 are 3,5,293. Prime factorization of 4395 in exponential form is:
4395 = 31×51×2931
∴ So by taking common prime factors GCF of 4390 and 4395 is 5
Factors of 4390
List of positive integer factors of 4390 that divides 4390 without a remainder.
1,2,5,10,439,878,2195,4390
Factors of 4395
List of positive integer factors of 4395 that divides 4395 without a remainder.
1,3,5,15,293,879,1465,4395
Greatest Common Factor
We found the factors and prime factorization of 4390 and 4395. The biggest common factor number is the GCF number.
So the greatest common factor 4390 and 4395 is 5.
Also check out the Least Common Multiple of 4390 and 4395
(i) The GCF of 4390 and 4395 is associative
GCF of 4390 and 4395 = GCF of 4395 and 4390
1. What is the GCF of 4390 and 4395?
Answer: GCF of 4390 and 4395 is 5.
2. What are the Factors of 4390?
Answer: Factors of 4390 are 1, 2, 5, 10, 439, 878, 2195, 4390. There are 8 integers that are factors of 4390. The greatest factor of 4390 is 4390.
3. What are the Factors of 4395?
Answer: Factors of 4395 are 1, 3, 5, 15, 293, 879, 1465, 4395. There are 8 integers that are factors of 4395. The greatest factor of 4395 is 4395.
4. How to Find the GCF of 4390 and 4395?
Answer:
Greatest Common Factor of 4390 and 4395 = 5
Step 1: Find the prime factorization of 4390
4390 = 2 x 5 x 439
Step 2: Find the prime factorization of 4395
4395 = 3 x 5 x 293
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 4390 and 4395 is 5