Greatest Common Factor of 5424 and 5432

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 5424, 5432 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5424 and 5432 is 8.

GCF(5424,5432) = 8

GCF of 5424 and 5432

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

GCF of:
and

Greatest Common Factor of 5424 and 5432

GCF of 5424 and 5432 is 8

Prime Factorization of 5424


2 5424
2 2712
2 1356
2 678
3 339
113 113
1

Prime factors of 5424 are 2,3,113. Prime factorization of 5424 in exponential form is:

5424 = 24×31×1131

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

∴ So by taking common prime factors GCF of 5424 and 5432 is 8

Greatest Common Factor of 5424 and 5432 by matching factors method

Factors of 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424

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

Greatest Common Factor

We found the factors and prime factorization of 5424 and 5432. The biggest common factor number is the GCF number.
So the greatest common factor 5424 and 5432 is 8.

Also check out the Least Common Multiple of 5424 and 5432

Properties of GCF 5424 and 5432

(i) The GCF of 5424 and 5432 is associative

GCF of 5424 and 5432 = GCF of 5432 and 5424

Related Greatest Common Factor of 5424

Related Greatest Common Factor of 5432

Frequently Asked Questions on GCF of 5424 and 5432

1. What is the GCF of 5424 and 5432?

Answer: GCF of 5424 and 5432 is 8.

2. What are the Factors of 5424?

Answer: Factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424. There are 20 integers that are factors of 5424. The greatest factor of 5424 is 5424.

3. 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.

4. How to Find the GCF of 5424 and 5432?

Answer:

Greatest Common Factor of 5424 and 5432 = 8

Step 1: Find the prime factorization of 5424

5424 = 2 x 2 x 2 x 2 x 3 x 113

Step 2: Find the prime factorization of 5432

5432 = 2 x 2 x 2 x 7 x 97

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5424 and 5432 is 8