Greatest Common Factor of 4404 and 4407

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 4404, 4407 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4404 and 4407 is 3.

GCF(4404,4407) = 3

GCF of 4404 and 4407

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

GCF of:
and

Greatest Common Factor of 4404 and 4407

GCF of 4404 and 4407 is 3

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

Prime Factorization of 4407


3 4407
13 1469
113 113
1

Prime factors of 4407 are 3,13,113. Prime factorization of 4407 in exponential form is:

4407 = 31×131×1131

∴ So by taking common prime factors GCF of 4404 and 4407 is 3

Greatest Common Factor of 4404 and 4407 by matching factors method

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

Factors of 4407

List of positive integer factors of 4407 that divides 4407 without a remainder.

1,3,13,39,113,339,1469,4407

Greatest Common Factor

We found the factors and prime factorization of 4404 and 4407. The biggest common factor number is the GCF number.
So the greatest common factor 4404 and 4407 is 3.

Also check out the Least Common Multiple of 4404 and 4407

Properties of GCF 4404 and 4407

(i) The GCF of 4404 and 4407 is associative

GCF of 4404 and 4407 = GCF of 4407 and 4404

Related Greatest Common Factor of 4404

Related Greatest Common Factor of 4407

Frequently Asked Questions on GCF of 4404 and 4407

1. What is the GCF of 4404 and 4407?

Answer: GCF of 4404 and 4407 is 3.

2. 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.

3. What are the Factors of 4407?

Answer: Factors of 4407 are 1, 3, 13, 39, 113, 339, 1469, 4407. There are 8 integers that are factors of 4407. The greatest factor of 4407 is 4407.

4. How to Find the GCF of 4404 and 4407?

Answer:

Greatest Common Factor of 4404 and 4407 = 3

Step 1: Find the prime factorization of 4404

4404 = 2 x 2 x 3 x 367

Step 2: Find the prime factorization of 4407

4407 = 3 x 13 x 113

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4404 and 4407 is 3