Greatest Common Factor of 1438 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 1438, 1440 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1438 and 1440 is 2.

GCF(1438,1440) = 2

GCF of 1438 and 1440

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

GCF of:
and

Greatest Common Factor of 1438 and 1440

GCF of 1438 and 1440 is 2

Prime Factorization of 1438


2 1438
719 719
1

Prime factors of 1438 are 2,719. Prime factorization of 1438 in exponential form is:

1438 = 21×7191

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 1438 and 1440 is 2

Greatest Common Factor of 1438 and 1440 by matching factors method

Factors of 1438

List of positive integer factors of 1438 that divides 1438 without a remainder.

1,2,719,1438

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 1438 and 1440. The biggest common factor number is the GCF number.
So the greatest common factor 1438 and 1440 is 2.

Also check out the Least Common Multiple of 1438 and 1440

Properties of GCF 1438 and 1440

(i) The GCF of 1438 and 1440 is associative

GCF of 1438 and 1440 = GCF of 1440 and 1438

Related Greatest Common Factor of 1438

Related Greatest Common Factor of 1440

Frequently Asked Questions on GCF of 1438 and 1440

1. What is the GCF of 1438 and 1440?

Answer: GCF of 1438 and 1440 is 2.

2. What are the Factors of 1438?

Answer: Factors of 1438 are 1, 2, 719, 1438. There are 4 integers that are factors of 1438. The greatest factor of 1438 is 1438.

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 1438 and 1440?

Answer:

Greatest Common Factor of 1438 and 1440 = 2

Step 1: Find the prime factorization of 1438

1438 = 2 x 719

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 = 2

Step 4: Therefore, the greatest common factor of 1438 and 1440 is 2