Greatest Common Factor of 5725 and 5730

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 5725, 5730 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5725 and 5730 is 5.

GCF(5725,5730) = 5

GCF of 5725 and 5730

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

GCF of:
and

Greatest Common Factor of 5725 and 5730

GCF of 5725 and 5730 is 5

Prime Factorization of 5725


5 5725
5 1145
229 229
1

Prime factors of 5725 are 5,229. Prime factorization of 5725 in exponential form is:

5725 = 52×2291

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

∴ So by taking common prime factors GCF of 5725 and 5730 is 5

Greatest Common Factor of 5725 and 5730 by matching factors method

Factors of 5725

List of positive integer factors of 5725 that divides 5725 without a remainder.

1,5,25,229,1145,5725

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

Greatest Common Factor

We found the factors and prime factorization of 5725 and 5730. The biggest common factor number is the GCF number.
So the greatest common factor 5725 and 5730 is 5.

Also check out the Least Common Multiple of 5725 and 5730

Properties of GCF 5725 and 5730

(i) The GCF of 5725 and 5730 is associative

GCF of 5725 and 5730 = GCF of 5730 and 5725

Related Greatest Common Factor of 5725

Related Greatest Common Factor of 5730

Frequently Asked Questions on GCF of 5725 and 5730

1. What is the GCF of 5725 and 5730?

Answer: GCF of 5725 and 5730 is 5.

2. What are the Factors of 5725?

Answer: Factors of 5725 are 1, 5, 25, 229, 1145, 5725. There are 6 integers that are factors of 5725. The greatest factor of 5725 is 5725.

3. 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.

4. How to Find the GCF of 5725 and 5730?

Answer:

Greatest Common Factor of 5725 and 5730 = 5

Step 1: Find the prime factorization of 5725

5725 = 5 x 5 x 229

Step 2: Find the prime factorization of 5730

5730 = 2 x 3 x 5 x 191

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 5725 and 5730 is 5