Greatest Common Factor of 5428 and 5433

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 5428, 5433 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5428 and 5433 is 1.

GCF(5428,5433) = 1

GCF of 5428 and 5433

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

GCF of:
and

Greatest Common Factor of 5428 and 5433

GCF of 5428 and 5433 is 1

Prime Factorization of 5428


2 5428
2 2714
23 1357
59 59
1

Prime factors of 5428 are 2,23,59. Prime factorization of 5428 in exponential form is:

5428 = 22×231×591

Prime Factorization of 5433


3 5433
1811 1811
1

Prime factors of 5433 are 3,1811. Prime factorization of 5433 in exponential form is:

5433 = 31×18111

∴ So by taking common prime factors GCF of 5428 and 5433 is 1

Greatest Common Factor of 5428 and 5433 by matching factors method

Factors of 5428

List of positive integer factors of 5428 that divides 5428 without a remainder.

1,2,4,23,46,59,92,118,236,1357,2714,5428

Factors of 5433

List of positive integer factors of 5433 that divides 5433 without a remainder.

1,3,1811,5433

Greatest Common Factor

We found the factors and prime factorization of 5428 and 5433. The biggest common factor number is the GCF number.
So the greatest common factor 5428 and 5433 is 1.

Also check out the Least Common Multiple of 5428 and 5433

Properties of GCF 5428 and 5433

(i) The GCF of 5428 and 5433 is associative

GCF of 5428 and 5433 = GCF of 5433 and 5428

Related Greatest Common Factor of 5428

Related Greatest Common Factor of 5433

Frequently Asked Questions on GCF of 5428 and 5433

1. What is the GCF of 5428 and 5433?

Answer: GCF of 5428 and 5433 is 1.

2. What are the Factors of 5428?

Answer: Factors of 5428 are 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428. There are 12 integers that are factors of 5428. The greatest factor of 5428 is 5428.

3. What are the Factors of 5433?

Answer: Factors of 5433 are 1, 3, 1811, 5433. There are 4 integers that are factors of 5433. The greatest factor of 5433 is 5433.

4. How to Find the GCF of 5428 and 5433?

Answer:

Greatest Common Factor of 5428 and 5433 = 1

Step 1: Find the prime factorization of 5428

5428 = 2 x 2 x 23 x 59

Step 2: Find the prime factorization of 5433

5433 = 3 x 1811

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5428 and 5433 is 1