Greatest Common Factor of 1440 and 1442

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, 1442 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1440 and 1442 is 2.

GCF(1440,1442) = 2

GCF of 1440 and 1442

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

GCF of:
and

Greatest Common Factor of 1440 and 1442

GCF of 1440 and 1442 is 2

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 1442


2 1442
7 721
103 103
1

Prime factors of 1442 are 2,7,103. Prime factorization of 1442 in exponential form is:

1442 = 21×71×1031

∴ So by taking common prime factors GCF of 1440 and 1442 is 2

Greatest Common Factor of 1440 and 1442 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 1442

List of positive integer factors of 1442 that divides 1442 without a remainder.

1,2,7,14,103,206,721,1442

Greatest Common Factor

We found the factors and prime factorization of 1440 and 1442. The biggest common factor number is the GCF number.
So the greatest common factor 1440 and 1442 is 2.

Also check out the Least Common Multiple of 1440 and 1442

Properties of GCF 1440 and 1442

(i) The GCF of 1440 and 1442 is associative

GCF of 1440 and 1442 = GCF of 1442 and 1440

Related Greatest Common Factor of 1440

Related Greatest Common Factor of 1442

Frequently Asked Questions on GCF of 1440 and 1442

1. What is the GCF of 1440 and 1442?

Answer: GCF of 1440 and 1442 is 2.

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 1442?

Answer: Factors of 1442 are 1, 2, 7, 14, 103, 206, 721, 1442. There are 8 integers that are factors of 1442. The greatest factor of 1442 is 1442.

4. How to Find the GCF of 1440 and 1442?

Answer:

Greatest Common Factor of 1440 and 1442 = 2

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 1442

1442 = 2 x 7 x 103

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1440 and 1442 is 2