Greatest Common Factor of 5438 and 5442

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, 5442 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5438 and 5442 is 2.

GCF(5438,5442) = 2

GCF of 5438 and 5442

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

GCF of:
and

Greatest Common Factor of 5438 and 5442

GCF of 5438 and 5442 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 5442


2 5442
3 2721
907 907
1

Prime factors of 5442 are 2,3,907. Prime factorization of 5442 in exponential form is:

5442 = 21×31×9071

∴ So by taking common prime factors GCF of 5438 and 5442 is 2

Greatest Common Factor of 5438 and 5442 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 5442

List of positive integer factors of 5442 that divides 5442 without a remainder.

1,2,3,6,907,1814,2721,5442

Greatest Common Factor

We found the factors and prime factorization of 5438 and 5442. The biggest common factor number is the GCF number.
So the greatest common factor 5438 and 5442 is 2.

Also check out the Least Common Multiple of 5438 and 5442

Properties of GCF 5438 and 5442

(i) The GCF of 5438 and 5442 is associative

GCF of 5438 and 5442 = GCF of 5442 and 5438

Related Greatest Common Factor of 5438

Related Greatest Common Factor of 5442

Frequently Asked Questions on GCF of 5438 and 5442

1. What is the GCF of 5438 and 5442?

Answer: GCF of 5438 and 5442 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 5442?

Answer: Factors of 5442 are 1, 2, 3, 6, 907, 1814, 2721, 5442. There are 8 integers that are factors of 5442. The greatest factor of 5442 is 5442.

4. How to Find the GCF of 5438 and 5442?

Answer:

Greatest Common Factor of 5438 and 5442 = 2

Step 1: Find the prime factorization of 5438

5438 = 2 x 2719

Step 2: Find the prime factorization of 5442

5442 = 2 x 3 x 907

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 5442 is 2