Greatest Common Factor of 5730 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 5730, 5735 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5730 and 5735 is 5.

GCF(5730,5735) = 5

GCF of 5730 and 5735

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

GCF of:
and

Greatest Common Factor of 5730 and 5735

GCF of 5730 and 5735 is 5

Prime Factorization of 5730


2 5730
3 2865
5 955
191 191
1

Prime factors of 5730 are 2,3,5,191. Prime factorization of 5730 in exponential form is:

5730 = 21×31×51×1911

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 5730 and 5735 is 5

Greatest Common Factor of 5730 and 5735 by matching factors method

Factors of 5730

List of positive integer factors of 5730 that divides 5730 without a remainder.

1,2,3,5,6,10,15,30,191,382,573,955,1146,1910,2865,5730

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 5730 and 5735. The biggest common factor number is the GCF number.
So the greatest common factor 5730 and 5735 is 5.

Also check out the Least Common Multiple of 5730 and 5735

Properties of GCF 5730 and 5735

(i) The GCF of 5730 and 5735 is associative

GCF of 5730 and 5735 = GCF of 5735 and 5730

Related Greatest Common Factor of 5730

Related Greatest Common Factor of 5735

Frequently Asked Questions on GCF of 5730 and 5735

1. What is the GCF of 5730 and 5735?

Answer: GCF of 5730 and 5735 is 5.

2. What are the Factors of 5730?

Answer: Factors of 5730 are 1, 2, 3, 5, 6, 10, 15, 30, 191, 382, 573, 955, 1146, 1910, 2865, 5730. There are 16 integers that are factors of 5730. The greatest factor of 5730 is 5730.

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 5730 and 5735?

Answer:

Greatest Common Factor of 5730 and 5735 = 5

Step 1: Find the prime factorization of 5730

5730 = 2 x 3 x 5 x 191

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 = 5

Step 4: Therefore, the greatest common factor of 5730 and 5735 is 5