Greatest Common Factor of 8730 and 8735

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 8730, 8735 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8730 and 8735 is 5.

GCF(8730,8735) = 5

GCF of 8730 and 8735

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

GCF of:
and

Greatest Common Factor of 8730 and 8735

GCF of 8730 and 8735 is 5

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

Prime Factorization of 8735


5 8735
1747 1747
1

Prime factors of 8735 are 5,1747. Prime factorization of 8735 in exponential form is:

8735 = 51×17471

∴ So by taking common prime factors GCF of 8730 and 8735 is 5

Greatest Common Factor of 8730 and 8735 by matching factors method

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

Factors of 8735

List of positive integer factors of 8735 that divides 8735 without a remainder.

1,5,1747,8735

Greatest Common Factor

We found the factors and prime factorization of 8730 and 8735. The biggest common factor number is the GCF number.
So the greatest common factor 8730 and 8735 is 5.

Also check out the Least Common Multiple of 8730 and 8735

Properties of GCF 8730 and 8735

(i) The GCF of 8730 and 8735 is associative

GCF of 8730 and 8735 = GCF of 8735 and 8730

Related Greatest Common Factor of 8730

Related Greatest Common Factor of 8735

Frequently Asked Questions on GCF of 8730 and 8735

1. What is the GCF of 8730 and 8735?

Answer: GCF of 8730 and 8735 is 5.

2. 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.

3. What are the Factors of 8735?

Answer: Factors of 8735 are 1, 5, 1747, 8735. There are 4 integers that are factors of 8735. The greatest factor of 8735 is 8735.

4. How to Find the GCF of 8730 and 8735?

Answer:

Greatest Common Factor of 8730 and 8735 = 5

Step 1: Find the prime factorization of 8730

8730 = 2 x 3 x 3 x 5 x 97

Step 2: Find the prime factorization of 8735

8735 = 5 x 1747

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 8730 and 8735 is 5