Greatest Common Factor of 5438 and 5440

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 5438, 5440 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5438 and 5440 is 2.

GCF(5438,5440) = 2

GCF of 5438 and 5440

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

GCF of:
and

Greatest Common Factor of 5438 and 5440

GCF of 5438 and 5440 is 2

Prime Factorization of 5438


2 5438
2719 2719
1

Prime factors of 5438 are 2,2719. Prime factorization of 5438 in exponential form is:

5438 = 21×27191

Prime Factorization of 5440


2 5440
2 2720
2 1360
2 680
2 340
2 170
5 85
17 17
1

Prime factors of 5440 are 2,5,17. Prime factorization of 5440 in exponential form is:

5440 = 26×51×171

∴ So by taking common prime factors GCF of 5438 and 5440 is 2

Greatest Common Factor of 5438 and 5440 by matching factors method

Factors of 5438

List of positive integer factors of 5438 that divides 5438 without a remainder.

1,2,2719,5438

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

Greatest Common Factor

We found the factors and prime factorization of 5438 and 5440. The biggest common factor number is the GCF number.
So the greatest common factor 5438 and 5440 is 2.

Also check out the Least Common Multiple of 5438 and 5440

Properties of GCF 5438 and 5440

(i) The GCF of 5438 and 5440 is associative

GCF of 5438 and 5440 = GCF of 5440 and 5438

Related Greatest Common Factor of 5438

Related Greatest Common Factor of 5440

Frequently Asked Questions on GCF of 5438 and 5440

1. What is the GCF of 5438 and 5440?

Answer: GCF of 5438 and 5440 is 2.

2. What are the Factors of 5438?

Answer: Factors of 5438 are 1, 2, 2719, 5438. There are 4 integers that are factors of 5438. The greatest factor of 5438 is 5438.

3. What are the Factors of 5440?

Answer: Factors of 5440 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440. There are 28 integers that are factors of 5440. The greatest factor of 5440 is 5440.

4. How to Find the GCF of 5438 and 5440?

Answer:

Greatest Common Factor of 5438 and 5440 = 2

Step 1: Find the prime factorization of 5438

5438 = 2 x 2719

Step 2: Find the prime factorization of 5440

5440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17

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 5438 and 5440 is 2