Greatest Common Factor of 8218 and 8225

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 8218, 8225 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8218 and 8225 is 7.

GCF(8218,8225) = 7

GCF of 8218 and 8225

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

GCF of:
and

Greatest Common Factor of 8218 and 8225

GCF of 8218 and 8225 is 7

Prime Factorization of 8218


2 8218
7 4109
587 587
1

Prime factors of 8218 are 2,7,587. Prime factorization of 8218 in exponential form is:

8218 = 21×71×5871

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

∴ So by taking common prime factors GCF of 8218 and 8225 is 7

Greatest Common Factor of 8218 and 8225 by matching factors method

Factors of 8218

List of positive integer factors of 8218 that divides 8218 without a remainder.

1,2,7,14,587,1174,4109,8218

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

Greatest Common Factor

We found the factors and prime factorization of 8218 and 8225. The biggest common factor number is the GCF number.
So the greatest common factor 8218 and 8225 is 7.

Also check out the Least Common Multiple of 8218 and 8225

Properties of GCF 8218 and 8225

(i) The GCF of 8218 and 8225 is associative

GCF of 8218 and 8225 = GCF of 8225 and 8218

Related Greatest Common Factor of 8218

Related Greatest Common Factor of 8225

Frequently Asked Questions on GCF of 8218 and 8225

1. What is the GCF of 8218 and 8225?

Answer: GCF of 8218 and 8225 is 7.

2. What are the Factors of 8218?

Answer: Factors of 8218 are 1, 2, 7, 14, 587, 1174, 4109, 8218. There are 8 integers that are factors of 8218. The greatest factor of 8218 is 8218.

3. 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.

4. How to Find the GCF of 8218 and 8225?

Answer:

Greatest Common Factor of 8218 and 8225 = 7

Step 1: Find the prime factorization of 8218

8218 = 2 x 7 x 587

Step 2: Find the prime factorization of 8225

8225 = 5 x 5 x 7 x 47

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8218 and 8225 is 7