Greatest Common Factor of 1435 and 1440

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 1435, 1440 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1435 and 1440 is 5.

GCF(1435,1440) = 5

GCF of 1435 and 1440

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

GCF of:
and

Greatest Common Factor of 1435 and 1440

GCF of 1435 and 1440 is 5

Prime Factorization of 1435


5 1435
7 287
41 41
1

Prime factors of 1435 are 5,7,41. Prime factorization of 1435 in exponential form is:

1435 = 51×71×411

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

∴ So by taking common prime factors GCF of 1435 and 1440 is 5

Greatest Common Factor of 1435 and 1440 by matching factors method

Factors of 1435

List of positive integer factors of 1435 that divides 1435 without a remainder.

1,5,7,35,41,205,287,1435

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

Greatest Common Factor

We found the factors and prime factorization of 1435 and 1440. The biggest common factor number is the GCF number.
So the greatest common factor 1435 and 1440 is 5.

Also check out the Least Common Multiple of 1435 and 1440

Properties of GCF 1435 and 1440

(i) The GCF of 1435 and 1440 is associative

GCF of 1435 and 1440 = GCF of 1440 and 1435

Related Greatest Common Factor of 1435

Related Greatest Common Factor of 1440

Frequently Asked Questions on GCF of 1435 and 1440

1. What is the GCF of 1435 and 1440?

Answer: GCF of 1435 and 1440 is 5.

2. What are the Factors of 1435?

Answer: Factors of 1435 are 1, 5, 7, 35, 41, 205, 287, 1435. There are 8 integers that are factors of 1435. The greatest factor of 1435 is 1435.

3. 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.

4. How to Find the GCF of 1435 and 1440?

Answer:

Greatest Common Factor of 1435 and 1440 = 5

Step 1: Find the prime factorization of 1435

1435 = 5 x 7 x 41

Step 2: Find the prime factorization of 1440

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

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 1435 and 1440 is 5