Greatest Common Factor of 8730 and 8738

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, 8738 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8730 and 8738 is 2.

GCF(8730,8738) = 2

GCF of 8730 and 8738

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

GCF of:
and

Greatest Common Factor of 8730 and 8738

GCF of 8730 and 8738 is 2

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 8738


2 8738
17 4369
257 257
1

Prime factors of 8738 are 2,17,257. Prime factorization of 8738 in exponential form is:

8738 = 21×171×2571

∴ So by taking common prime factors GCF of 8730 and 8738 is 2

Greatest Common Factor of 8730 and 8738 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 8738

List of positive integer factors of 8738 that divides 8738 without a remainder.

1,2,17,34,257,514,4369,8738

Greatest Common Factor

We found the factors and prime factorization of 8730 and 8738. The biggest common factor number is the GCF number.
So the greatest common factor 8730 and 8738 is 2.

Also check out the Least Common Multiple of 8730 and 8738

Properties of GCF 8730 and 8738

(i) The GCF of 8730 and 8738 is associative

GCF of 8730 and 8738 = GCF of 8738 and 8730

Related Greatest Common Factor of 8730

Related Greatest Common Factor of 8738

Frequently Asked Questions on GCF of 8730 and 8738

1. What is the GCF of 8730 and 8738?

Answer: GCF of 8730 and 8738 is 2.

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 8738?

Answer: Factors of 8738 are 1, 2, 17, 34, 257, 514, 4369, 8738. There are 8 integers that are factors of 8738. The greatest factor of 8738 is 8738.

4. How to Find the GCF of 8730 and 8738?

Answer:

Greatest Common Factor of 8730 and 8738 = 2

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 8738

8738 = 2 x 17 x 257

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 8730 and 8738 is 2