Greatest Common Factor of 8725 and 8730

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 8725, 8730 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8725 and 8730 is 5.

GCF(8725,8730) = 5

GCF of 8725 and 8730

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

GCF of:
and

Greatest Common Factor of 8725 and 8730

GCF of 8725 and 8730 is 5

Prime Factorization of 8725


5 8725
5 1745
349 349
1

Prime factors of 8725 are 5,349. Prime factorization of 8725 in exponential form is:

8725 = 52×3491

Prime Factorization of 8730


2 8730
3 4365
3 1455
5 485
97 97
1

Prime factors of 8730 are 2,3,5,97. Prime factorization of 8730 in exponential form is:

8730 = 21×32×51×971

∴ So by taking common prime factors GCF of 8725 and 8730 is 5

Greatest Common Factor of 8725 and 8730 by matching factors method

Factors of 8725

List of positive integer factors of 8725 that divides 8725 without a remainder.

1,5,25,349,1745,8725

Factors of 8730

List of positive integer factors of 8730 that divides 8730 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,97,194,291,485,582,873,970,1455,1746,2910,4365,8730

Greatest Common Factor

We found the factors and prime factorization of 8725 and 8730. The biggest common factor number is the GCF number.
So the greatest common factor 8725 and 8730 is 5.

Also check out the Least Common Multiple of 8725 and 8730

Properties of GCF 8725 and 8730

(i) The GCF of 8725 and 8730 is associative

GCF of 8725 and 8730 = GCF of 8730 and 8725

Related Greatest Common Factor of 8725

Related Greatest Common Factor of 8730

Frequently Asked Questions on GCF of 8725 and 8730

1. What is the GCF of 8725 and 8730?

Answer: GCF of 8725 and 8730 is 5.

2. What are the Factors of 8725?

Answer: Factors of 8725 are 1, 5, 25, 349, 1745, 8725. There are 6 integers that are factors of 8725. The greatest factor of 8725 is 8725.

3. What are the Factors of 8730?

Answer: Factors of 8730 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365, 8730. There are 24 integers that are factors of 8730. The greatest factor of 8730 is 8730.

4. How to Find the GCF of 8725 and 8730?

Answer:

Greatest Common Factor of 8725 and 8730 = 5

Step 1: Find the prime factorization of 8725

8725 = 5 x 5 x 349

Step 2: Find the prime factorization of 8730

8730 = 2 x 3 x 3 x 5 x 97

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 8725 and 8730 is 5