Greatest Common Factor of 4398 and 4404

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 4398, 4404 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4398 and 4404 is 6.

GCF(4398,4404) = 6

GCF of 4398 and 4404

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

GCF of:
and

Greatest Common Factor of 4398 and 4404

GCF of 4398 and 4404 is 6

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

Prime Factorization of 4404


2 4404
2 2202
3 1101
367 367
1

Prime factors of 4404 are 2,3,367. Prime factorization of 4404 in exponential form is:

4404 = 22×31×3671

∴ So by taking common prime factors GCF of 4398 and 4404 is 6

Greatest Common Factor of 4398 and 4404 by matching factors method

Factors of 4398

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

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

Factors of 4404

List of positive integer factors of 4404 that divides 4404 without a remainder.

1,2,3,4,6,12,367,734,1101,1468,2202,4404

Greatest Common Factor

We found the factors and prime factorization of 4398 and 4404. The biggest common factor number is the GCF number.
So the greatest common factor 4398 and 4404 is 6.

Also check out the Least Common Multiple of 4398 and 4404

Properties of GCF 4398 and 4404

(i) The GCF of 4398 and 4404 is associative

GCF of 4398 and 4404 = GCF of 4404 and 4398

Related Greatest Common Factor of 4398

Related Greatest Common Factor of 4404

Frequently Asked Questions on GCF of 4398 and 4404

1. What is the GCF of 4398 and 4404?

Answer: GCF of 4398 and 4404 is 6.

2. 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.

3. What are the Factors of 4404?

Answer: Factors of 4404 are 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404. There are 12 integers that are factors of 4404. The greatest factor of 4404 is 4404.

4. How to Find the GCF of 4398 and 4404?

Answer:

Greatest Common Factor of 4398 and 4404 = 6

Step 1: Find the prime factorization of 4398

4398 = 2 x 3 x 733

Step 2: Find the prime factorization of 4404

4404 = 2 x 2 x 3 x 367

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4398 and 4404 is 6