Greatest Common Factor of 5432 and 5438

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 5432, 5438 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5432 and 5438 is 2.

GCF(5432,5438) = 2

GCF of 5432 and 5438

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

GCF of:
and

Greatest Common Factor of 5432 and 5438

GCF of 5432 and 5438 is 2

Prime Factorization of 5432


2 5432
2 2716
2 1358
7 679
97 97
1

Prime factors of 5432 are 2,7,97. Prime factorization of 5432 in exponential form is:

5432 = 23×71×971

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

∴ So by taking common prime factors GCF of 5432 and 5438 is 2

Greatest Common Factor of 5432 and 5438 by matching factors method

Factors of 5432

List of positive integer factors of 5432 that divides 5432 without a remainder.

1,2,4,7,8,14,28,56,97,194,388,679,776,1358,2716,5432

Factors of 5438

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

1,2,2719,5438

Greatest Common Factor

We found the factors and prime factorization of 5432 and 5438. The biggest common factor number is the GCF number.
So the greatest common factor 5432 and 5438 is 2.

Also check out the Least Common Multiple of 5432 and 5438

Properties of GCF 5432 and 5438

(i) The GCF of 5432 and 5438 is associative

GCF of 5432 and 5438 = GCF of 5438 and 5432

Related Greatest Common Factor of 5432

Related Greatest Common Factor of 5438

Frequently Asked Questions on GCF of 5432 and 5438

1. What is the GCF of 5432 and 5438?

Answer: GCF of 5432 and 5438 is 2.

2. What are the Factors of 5432?

Answer: Factors of 5432 are 1, 2, 4, 7, 8, 14, 28, 56, 97, 194, 388, 679, 776, 1358, 2716, 5432. There are 16 integers that are factors of 5432. The greatest factor of 5432 is 5432.

3. 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.

4. How to Find the GCF of 5432 and 5438?

Answer:

Greatest Common Factor of 5432 and 5438 = 2

Step 1: Find the prime factorization of 5432

5432 = 2 x 2 x 2 x 7 x 97

Step 2: Find the prime factorization of 5438

5438 = 2 x 2719

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 5432 and 5438 is 2