Greatest Common Factor of 4394 and 4398

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 4394, 4398 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4394 and 4398 is 2.

GCF(4394,4398) = 2

GCF of 4394 and 4398

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

GCF of:
and

Greatest Common Factor of 4394 and 4398

GCF of 4394 and 4398 is 2

Prime Factorization of 4394


2 4394
13 2197
13 169
13 13
1

Prime factors of 4394 are 2,13. Prime factorization of 4394 in exponential form is:

4394 = 21×133

Prime Factorization of 4398


2 4398
3 2199
733 733
1

Prime factors of 4398 are 2,3,733. Prime factorization of 4398 in exponential form is:

4398 = 21×31×7331

∴ So by taking common prime factors GCF of 4394 and 4398 is 2

Greatest Common Factor of 4394 and 4398 by matching factors method

Factors of 4394

List of positive integer factors of 4394 that divides 4394 without a remainder.

1,2,13,26,169,338,2197,4394

Factors of 4398

List of positive integer factors of 4398 that divides 4398 without a remainder.

1,2,3,6,733,1466,2199,4398

Greatest Common Factor

We found the factors and prime factorization of 4394 and 4398. The biggest common factor number is the GCF number.
So the greatest common factor 4394 and 4398 is 2.

Also check out the Least Common Multiple of 4394 and 4398

Properties of GCF 4394 and 4398

(i) The GCF of 4394 and 4398 is associative

GCF of 4394 and 4398 = GCF of 4398 and 4394

Related Greatest Common Factor of 4394

Related Greatest Common Factor of 4398

Frequently Asked Questions on GCF of 4394 and 4398

1. What is the GCF of 4394 and 4398?

Answer: GCF of 4394 and 4398 is 2.

2. What are the Factors of 4394?

Answer: Factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394. There are 8 integers that are factors of 4394. The greatest factor of 4394 is 4394.

3. What are the Factors of 4398?

Answer: Factors of 4398 are 1, 2, 3, 6, 733, 1466, 2199, 4398. There are 8 integers that are factors of 4398. The greatest factor of 4398 is 4398.

4. How to Find the GCF of 4394 and 4398?

Answer:

Greatest Common Factor of 4394 and 4398 = 2

Step 1: Find the prime factorization of 4394

4394 = 2 x 13 x 13 x 13

Step 2: Find the prime factorization of 4398

4398 = 2 x 3 x 733

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 4394 and 4398 is 2