Greatest Common Factor of 5728 and 5735

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 5728, 5735 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5728 and 5735 is 1.

GCF(5728,5735) = 1

GCF of 5728 and 5735

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

GCF of:
and

Greatest Common Factor of 5728 and 5735

GCF of 5728 and 5735 is 1

Prime Factorization of 5728


2 5728
2 2864
2 1432
2 716
2 358
179 179
1

Prime factors of 5728 are 2,179. Prime factorization of 5728 in exponential form is:

5728 = 25×1791

Prime Factorization of 5735


5 5735
31 1147
37 37
1

Prime factors of 5735 are 5,31,37. Prime factorization of 5735 in exponential form is:

5735 = 51×311×371

∴ So by taking common prime factors GCF of 5728 and 5735 is 1

Greatest Common Factor of 5728 and 5735 by matching factors method

Factors of 5728

List of positive integer factors of 5728 that divides 5728 without a remainder.

1,2,4,8,16,32,179,358,716,1432,2864,5728

Factors of 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1,5,31,37,155,185,1147,5735

Greatest Common Factor

We found the factors and prime factorization of 5728 and 5735. The biggest common factor number is the GCF number.
So the greatest common factor 5728 and 5735 is 1.

Also check out the Least Common Multiple of 5728 and 5735

Properties of GCF 5728 and 5735

(i) The GCF of 5728 and 5735 is associative

GCF of 5728 and 5735 = GCF of 5735 and 5728

Related Greatest Common Factor of 5728

Related Greatest Common Factor of 5735

Frequently Asked Questions on GCF of 5728 and 5735

1. What is the GCF of 5728 and 5735?

Answer: GCF of 5728 and 5735 is 1.

2. What are the Factors of 5728?

Answer: Factors of 5728 are 1, 2, 4, 8, 16, 32, 179, 358, 716, 1432, 2864, 5728. There are 12 integers that are factors of 5728. The greatest factor of 5728 is 5728.

3. What are the Factors of 5735?

Answer: Factors of 5735 are 1, 5, 31, 37, 155, 185, 1147, 5735. There are 8 integers that are factors of 5735. The greatest factor of 5735 is 5735.

4. How to Find the GCF of 5728 and 5735?

Answer:

Greatest Common Factor of 5728 and 5735 = 1

Step 1: Find the prime factorization of 5728

5728 = 2 x 2 x 2 x 2 x 2 x 179

Step 2: Find the prime factorization of 5735

5735 = 5 x 31 x 37

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 5728 and 5735 is 1