Greatest Common Factor of 1446 and 1449

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 1446, 1449 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1446 and 1449 is 3.

GCF(1446,1449) = 3

GCF of 1446 and 1449

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

GCF of:
and

Greatest Common Factor of 1446 and 1449

GCF of 1446 and 1449 is 3

Prime Factorization of 1446


2 1446
3 723
241 241
1

Prime factors of 1446 are 2,3,241. Prime factorization of 1446 in exponential form is:

1446 = 21×31×2411

Prime Factorization of 1449


3 1449
3 483
7 161
23 23
1

Prime factors of 1449 are 3,7,23. Prime factorization of 1449 in exponential form is:

1449 = 32×71×231

∴ So by taking common prime factors GCF of 1446 and 1449 is 3

Greatest Common Factor of 1446 and 1449 by matching factors method

Factors of 1446

List of positive integer factors of 1446 that divides 1446 without a remainder.

1,2,3,6,241,482,723,1446

Factors of 1449

List of positive integer factors of 1449 that divides 1449 without a remainder.

1,3,7,9,21,23,63,69,161,207,483,1449

Greatest Common Factor

We found the factors and prime factorization of 1446 and 1449. The biggest common factor number is the GCF number.
So the greatest common factor 1446 and 1449 is 3.

Also check out the Least Common Multiple of 1446 and 1449

Properties of GCF 1446 and 1449

(i) The GCF of 1446 and 1449 is associative

GCF of 1446 and 1449 = GCF of 1449 and 1446

Related Greatest Common Factor of 1446

Related Greatest Common Factor of 1449

Frequently Asked Questions on GCF of 1446 and 1449

1. What is the GCF of 1446 and 1449?

Answer: GCF of 1446 and 1449 is 3.

2. What are the Factors of 1446?

Answer: Factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446. There are 8 integers that are factors of 1446. The greatest factor of 1446 is 1446.

3. What are the Factors of 1449?

Answer: Factors of 1449 are 1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449. There are 12 integers that are factors of 1449. The greatest factor of 1449 is 1449.

4. How to Find the GCF of 1446 and 1449?

Answer:

Greatest Common Factor of 1446 and 1449 = 3

Step 1: Find the prime factorization of 1446

1446 = 2 x 3 x 241

Step 2: Find the prime factorization of 1449

1449 = 3 x 3 x 7 x 23

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 1446 and 1449 is 3