Greatest Common Factor of 4390 and 4395

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

GCF of 4390 and 4395

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4390 and 4395

GCF of 4390 and 4395 is 5

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

Greatest Common Factor of 4390 and 4395 by matching factors method

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

Properties of GCF 4390 and 4395

(i) The GCF of 4390 and 4395 is associative

GCF of 4390 and 4395 = GCF of 4395 and 4390

Frequently Asked Questions on GCF of 4390 and 4395

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