Greatest Common Factor of 5432 and 5434

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, 5434 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5432 and 5434 is 2.

GCF(5432,5434) = 2

GCF of 5432 and 5434

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

GCF of:
and

Greatest Common Factor of 5432 and 5434

GCF of 5432 and 5434 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 5434


2 5434
11 2717
13 247
19 19
1

Prime factors of 5434 are 2,11,13,19. Prime factorization of 5434 in exponential form is:

5434 = 21×111×131×191

∴ So by taking common prime factors GCF of 5432 and 5434 is 2

Greatest Common Factor of 5432 and 5434 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 5434

List of positive integer factors of 5434 that divides 5434 without a remainder.

1,2,11,13,19,22,26,38,143,209,247,286,418,494,2717,5434

Greatest Common Factor

We found the factors and prime factorization of 5432 and 5434. The biggest common factor number is the GCF number.
So the greatest common factor 5432 and 5434 is 2.

Also check out the Least Common Multiple of 5432 and 5434

Properties of GCF 5432 and 5434

(i) The GCF of 5432 and 5434 is associative

GCF of 5432 and 5434 = GCF of 5434 and 5432

Related Greatest Common Factor of 5432

Related Greatest Common Factor of 5434

Frequently Asked Questions on GCF of 5432 and 5434

1. What is the GCF of 5432 and 5434?

Answer: GCF of 5432 and 5434 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 5434?

Answer: Factors of 5434 are 1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717, 5434. There are 16 integers that are factors of 5434. The greatest factor of 5434 is 5434.

4. How to Find the GCF of 5432 and 5434?

Answer:

Greatest Common Factor of 5432 and 5434 = 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 5434

5434 = 2 x 11 x 13 x 19

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 5434 is 2