Greatest Common Factor of 8218 and 8224

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, 8224 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8218 and 8224 is 2.

GCF(8218,8224) = 2

GCF of 8218 and 8224

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

GCF of:
and

Greatest Common Factor of 8218 and 8224

GCF of 8218 and 8224 is 2

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 8224


2 8224
2 4112
2 2056
2 1028
2 514
257 257
1

Prime factors of 8224 are 2,257. Prime factorization of 8224 in exponential form is:

8224 = 25×2571

∴ So by taking common prime factors GCF of 8218 and 8224 is 2

Greatest Common Factor of 8218 and 8224 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 8224

List of positive integer factors of 8224 that divides 8224 without a remainder.

1,2,4,8,16,32,257,514,1028,2056,4112,8224

Greatest Common Factor

We found the factors and prime factorization of 8218 and 8224. The biggest common factor number is the GCF number.
So the greatest common factor 8218 and 8224 is 2.

Also check out the Least Common Multiple of 8218 and 8224

Properties of GCF 8218 and 8224

(i) The GCF of 8218 and 8224 is associative

GCF of 8218 and 8224 = GCF of 8224 and 8218

Related Greatest Common Factor of 8218

Related Greatest Common Factor of 8224

Frequently Asked Questions on GCF of 8218 and 8224

1. What is the GCF of 8218 and 8224?

Answer: GCF of 8218 and 8224 is 2.

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 8224?

Answer: Factors of 8224 are 1, 2, 4, 8, 16, 32, 257, 514, 1028, 2056, 4112, 8224. There are 12 integers that are factors of 8224. The greatest factor of 8224 is 8224.

4. How to Find the GCF of 8218 and 8224?

Answer:

Greatest Common Factor of 8218 and 8224 = 2

Step 1: Find the prime factorization of 8218

8218 = 2 x 7 x 587

Step 2: Find the prime factorization of 8224

8224 = 2 x 2 x 2 x 2 x 2 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 8218 and 8224 is 2