Greatest Common Factor of 1440 and 1441

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, 1441 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1440 and 1441 is 1.

GCF(1440,1441) = 1

GCF of 1440 and 1441

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

GCF of:
and

Greatest Common Factor of 1440 and 1441

GCF of 1440 and 1441 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 1441


11 1441
131 131
1

Prime factors of 1441 are 11,131. Prime factorization of 1441 in exponential form is:

1441 = 111×1311

∴ So by taking common prime factors GCF of 1440 and 1441 is 1

Greatest Common Factor of 1440 and 1441 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 1441

List of positive integer factors of 1441 that divides 1441 without a remainder.

1,11,131,1441

Greatest Common Factor

We found the factors and prime factorization of 1440 and 1441. The biggest common factor number is the GCF number.
So the greatest common factor 1440 and 1441 is 1.

Also check out the Least Common Multiple of 1440 and 1441

Properties of GCF 1440 and 1441

(i) The GCF of 1440 and 1441 is associative

GCF of 1440 and 1441 = GCF of 1441 and 1440

Related Greatest Common Factor of 1440

Related Greatest Common Factor of 1441

Frequently Asked Questions on GCF of 1440 and 1441

1. What is the GCF of 1440 and 1441?

Answer: GCF of 1440 and 1441 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 1441?

Answer: Factors of 1441 are 1, 11, 131, 1441. There are 4 integers that are factors of 1441. The greatest factor of 1441 is 1441.

4. How to Find the GCF of 1440 and 1441?

Answer:

Greatest Common Factor of 1440 and 1441 = 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 1441

1441 = 11 x 131

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 1441 is 1