Greatest Common Factor of 8225 and 8230

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 8225, 8230 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8225 and 8230 is 5.

GCF(8225,8230) = 5

GCF of 8225 and 8230

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

GCF of:
and

Greatest Common Factor of 8225 and 8230

GCF of 8225 and 8230 is 5

Prime Factorization of 8225


5 8225
5 1645
7 329
47 47
1

Prime factors of 8225 are 5,7,47. Prime factorization of 8225 in exponential form is:

8225 = 52×71×471

Prime Factorization of 8230


2 8230
5 4115
823 823
1

Prime factors of 8230 are 2,5,823. Prime factorization of 8230 in exponential form is:

8230 = 21×51×8231

∴ So by taking common prime factors GCF of 8225 and 8230 is 5

Greatest Common Factor of 8225 and 8230 by matching factors method

Factors of 8225

List of positive integer factors of 8225 that divides 8225 without a remainder.

1,5,7,25,35,47,175,235,329,1175,1645,8225

Factors of 8230

List of positive integer factors of 8230 that divides 8230 without a remainder.

1,2,5,10,823,1646,4115,8230

Greatest Common Factor

We found the factors and prime factorization of 8225 and 8230. The biggest common factor number is the GCF number.
So the greatest common factor 8225 and 8230 is 5.

Also check out the Least Common Multiple of 8225 and 8230

Properties of GCF 8225 and 8230

(i) The GCF of 8225 and 8230 is associative

GCF of 8225 and 8230 = GCF of 8230 and 8225

Related Greatest Common Factor of 8225

Related Greatest Common Factor of 8230

Frequently Asked Questions on GCF of 8225 and 8230

1. What is the GCF of 8225 and 8230?

Answer: GCF of 8225 and 8230 is 5.

2. What are the Factors of 8225?

Answer: Factors of 8225 are 1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225. There are 12 integers that are factors of 8225. The greatest factor of 8225 is 8225.

3. What are the Factors of 8230?

Answer: Factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230. There are 8 integers that are factors of 8230. The greatest factor of 8230 is 8230.

4. How to Find the GCF of 8225 and 8230?

Answer:

Greatest Common Factor of 8225 and 8230 = 5

Step 1: Find the prime factorization of 8225

8225 = 5 x 5 x 7 x 47

Step 2: Find the prime factorization of 8230

8230 = 2 x 5 x 823

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 8225 and 8230 is 5