Greatest Common Factor of 1440 and 1446

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 1440, 1446 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1440 and 1446 is 6.

GCF(1440,1446) = 6

GCF of 1440 and 1446

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

GCF of:
and

Greatest Common Factor of 1440 and 1446

GCF of 1440 and 1446 is 6

Prime Factorization of 1440


2 1440
2 720
2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 1440 are 2,3,5. Prime factorization of 1440 in exponential form is:

1440 = 25×32×51

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

∴ So by taking common prime factors GCF of 1440 and 1446 is 6

Greatest Common Factor of 1440 and 1446 by matching factors method

Factors of 1440

List of positive integer factors of 1440 that divides 1440 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440

Factors of 1446

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

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

Greatest Common Factor

We found the factors and prime factorization of 1440 and 1446. The biggest common factor number is the GCF number.
So the greatest common factor 1440 and 1446 is 6.

Also check out the Least Common Multiple of 1440 and 1446

Properties of GCF 1440 and 1446

(i) The GCF of 1440 and 1446 is associative

GCF of 1440 and 1446 = GCF of 1446 and 1440

Related Greatest Common Factor of 1440

Related Greatest Common Factor of 1446

Frequently Asked Questions on GCF of 1440 and 1446

1. What is the GCF of 1440 and 1446?

Answer: GCF of 1440 and 1446 is 6.

2. What are the Factors of 1440?

Answer: Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440. There are 36 integers that are factors of 1440. The greatest factor of 1440 is 1440.

3. 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.

4. How to Find the GCF of 1440 and 1446?

Answer:

Greatest Common Factor of 1440 and 1446 = 6

Step 1: Find the prime factorization of 1440

1440 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 1446

1446 = 2 x 3 x 241

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 1440 and 1446 is 6