Greatest Common Factor of 4384 and 4390

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 4384, 4390 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4384 and 4390 is 2.

GCF(4384,4390) = 2

GCF of 4384 and 4390

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

GCF of:
and

Greatest Common Factor of 4384 and 4390

GCF of 4384 and 4390 is 2

Prime Factorization of 4384


2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 4384 are 2,137. Prime factorization of 4384 in exponential form is:

4384 = 25×1371

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

∴ So by taking common prime factors GCF of 4384 and 4390 is 2

Greatest Common Factor of 4384 and 4390 by matching factors method

Factors of 4384

List of positive integer factors of 4384 that divides 4384 without a remainder.

1,2,4,8,16,32,137,274,548,1096,2192,4384

Factors of 4390

List of positive integer factors of 4390 that divides 4390 without a remainder.

1,2,5,10,439,878,2195,4390

Greatest Common Factor

We found the factors and prime factorization of 4384 and 4390. The biggest common factor number is the GCF number.
So the greatest common factor 4384 and 4390 is 2.

Also check out the Least Common Multiple of 4384 and 4390

Properties of GCF 4384 and 4390

(i) The GCF of 4384 and 4390 is associative

GCF of 4384 and 4390 = GCF of 4390 and 4384

Related Greatest Common Factor of 4384

Related Greatest Common Factor of 4390

Frequently Asked Questions on GCF of 4384 and 4390

1. What is the GCF of 4384 and 4390?

Answer: GCF of 4384 and 4390 is 2.

2. What are the Factors of 4384?

Answer: Factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384. There are 12 integers that are factors of 4384. The greatest factor of 4384 is 4384.

3. 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.

4. How to Find the GCF of 4384 and 4390?

Answer:

Greatest Common Factor of 4384 and 4390 = 2

Step 1: Find the prime factorization of 4384

4384 = 2 x 2 x 2 x 2 x 2 x 137

Step 2: Find the prime factorization of 4390

4390 = 2 x 5 x 439

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4384 and 4390 is 2