Greatest Common Factor of 4407 and 4413

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 4407, 4413 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4407 and 4413 is 3.

GCF(4407,4413) = 3

GCF of 4407 and 4413

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

GCF of:
and

Greatest Common Factor of 4407 and 4413

GCF of 4407 and 4413 is 3

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

Prime Factorization of 4413


3 4413
1471 1471
1

Prime factors of 4413 are 3,1471. Prime factorization of 4413 in exponential form is:

4413 = 31×14711

∴ So by taking common prime factors GCF of 4407 and 4413 is 3

Greatest Common Factor of 4407 and 4413 by matching factors method

Factors of 4407

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

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

Factors of 4413

List of positive integer factors of 4413 that divides 4413 without a remainder.

1,3,1471,4413

Greatest Common Factor

We found the factors and prime factorization of 4407 and 4413. The biggest common factor number is the GCF number.
So the greatest common factor 4407 and 4413 is 3.

Also check out the Least Common Multiple of 4407 and 4413

Properties of GCF 4407 and 4413

(i) The GCF of 4407 and 4413 is associative

GCF of 4407 and 4413 = GCF of 4413 and 4407

Related Greatest Common Factor of 4407

Related Greatest Common Factor of 4413

Frequently Asked Questions on GCF of 4407 and 4413

1. What is the GCF of 4407 and 4413?

Answer: GCF of 4407 and 4413 is 3.

2. 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.

3. What are the Factors of 4413?

Answer: Factors of 4413 are 1, 3, 1471, 4413. There are 4 integers that are factors of 4413. The greatest factor of 4413 is 4413.

4. How to Find the GCF of 4407 and 4413?

Answer:

Greatest Common Factor of 4407 and 4413 = 3

Step 1: Find the prime factorization of 4407

4407 = 3 x 13 x 113

Step 2: Find the prime factorization of 4413

4413 = 3 x 1471

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 4407 and 4413 is 3