Greatest Common Factor of 4446 and 4449

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 4446, 4449 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4446 and 4449 is 3.

GCF(4446,4449) = 3

GCF of 4446 and 4449

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

GCF of:
and

Greatest Common Factor of 4446 and 4449

GCF of 4446 and 4449 is 3

Prime Factorization of 4446


2 4446
3 2223
3 741
13 247
19 19
1

Prime factors of 4446 are 2,3,13,19. Prime factorization of 4446 in exponential form is:

4446 = 21×32×131×191

Prime Factorization of 4449


3 4449
1483 1483
1

Prime factors of 4449 are 3,1483. Prime factorization of 4449 in exponential form is:

4449 = 31×14831

∴ So by taking common prime factors GCF of 4446 and 4449 is 3

Greatest Common Factor of 4446 and 4449 by matching factors method

Factors of 4446

List of positive integer factors of 4446 that divides 4446 without a remainder.

1,2,3,6,9,13,18,19,26,38,39,57,78,114,117,171,234,247,342,494,741,1482,2223,4446

Factors of 4449

List of positive integer factors of 4449 that divides 4449 without a remainder.

1,3,1483,4449

Greatest Common Factor

We found the factors and prime factorization of 4446 and 4449. The biggest common factor number is the GCF number.
So the greatest common factor 4446 and 4449 is 3.

Also check out the Least Common Multiple of 4446 and 4449

Properties of GCF 4446 and 4449

(i) The GCF of 4446 and 4449 is associative

GCF of 4446 and 4449 = GCF of 4449 and 4446

Related Greatest Common Factor of 4446

Related Greatest Common Factor of 4449

Frequently Asked Questions on GCF of 4446 and 4449

1. What is the GCF of 4446 and 4449?

Answer: GCF of 4446 and 4449 is 3.

2. What are the Factors of 4446?

Answer: Factors of 4446 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446. There are 24 integers that are factors of 4446. The greatest factor of 4446 is 4446.

3. What are the Factors of 4449?

Answer: Factors of 4449 are 1, 3, 1483, 4449. There are 4 integers that are factors of 4449. The greatest factor of 4449 is 4449.

4. How to Find the GCF of 4446 and 4449?

Answer:

Greatest Common Factor of 4446 and 4449 = 3

Step 1: Find the prime factorization of 4446

4446 = 2 x 3 x 3 x 13 x 19

Step 2: Find the prime factorization of 4449

4449 = 3 x 1483

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 4446 and 4449 is 3