Greatest Common Factor of 1440 and 1445

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, 1445 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1440 and 1445 is 5.

GCF(1440,1445) = 5

GCF of 1440 and 1445

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

GCF of:
and

Greatest Common Factor of 1440 and 1445

GCF of 1440 and 1445 is 5

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 1445


5 1445
17 289
17 17
1

Prime factors of 1445 are 5,17. Prime factorization of 1445 in exponential form is:

1445 = 51×172

∴ So by taking common prime factors GCF of 1440 and 1445 is 5

Greatest Common Factor of 1440 and 1445 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 1445

List of positive integer factors of 1445 that divides 1445 without a remainder.

1,5,17,85,289,1445

Greatest Common Factor

We found the factors and prime factorization of 1440 and 1445. The biggest common factor number is the GCF number.
So the greatest common factor 1440 and 1445 is 5.

Also check out the Least Common Multiple of 1440 and 1445

Properties of GCF 1440 and 1445

(i) The GCF of 1440 and 1445 is associative

GCF of 1440 and 1445 = GCF of 1445 and 1440

Related Greatest Common Factor of 1440

Related Greatest Common Factor of 1445

Frequently Asked Questions on GCF of 1440 and 1445

1. What is the GCF of 1440 and 1445?

Answer: GCF of 1440 and 1445 is 5.

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 1445?

Answer: Factors of 1445 are 1, 5, 17, 85, 289, 1445. There are 6 integers that are factors of 1445. The greatest factor of 1445 is 1445.

4. How to Find the GCF of 1440 and 1445?

Answer:

Greatest Common Factor of 1440 and 1445 = 5

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 1445

1445 = 5 x 17 x 17

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1440 and 1445 is 5