Greatest Common Factor of 1440 and 1447

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, 1447 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1440 and 1447 is 1.

GCF(1440,1447) = 1

GCF of 1440 and 1447

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

GCF of:
and

Greatest Common Factor of 1440 and 1447

GCF of 1440 and 1447 is 1

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 1447


1447 1447
1

Prime factors of 1447 are 1447. Prime factorization of 1447 in exponential form is:

1447 = 14471

∴ So by taking common prime factors GCF of 1440 and 1447 is 1

Greatest Common Factor of 1440 and 1447 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 1447

List of positive integer factors of 1447 that divides 1447 without a remainder.

1,1447

Greatest Common Factor

We found the factors and prime factorization of 1440 and 1447. The biggest common factor number is the GCF number.
So the greatest common factor 1440 and 1447 is 1.

Also check out the Least Common Multiple of 1440 and 1447

Properties of GCF 1440 and 1447

(i) The GCF of 1440 and 1447 is associative

GCF of 1440 and 1447 = GCF of 1447 and 1440

Related Greatest Common Factor of 1440

Related Greatest Common Factor of 1447

Frequently Asked Questions on GCF of 1440 and 1447

1. What is the GCF of 1440 and 1447?

Answer: GCF of 1440 and 1447 is 1.

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 1447?

Answer: Factors of 1447 are 1, 1447. There are 2 integers that are factors of 1447. The greatest factor of 1447 is 1447.

4. How to Find the GCF of 1440 and 1447?

Answer:

Greatest Common Factor of 1440 and 1447 = 1

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 1447

1447 = 1447

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1440 and 1447 is 1