Greatest Common Factor of 8224 and 8228

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 8224, 8228 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8224 and 8228 is 4.

GCF(8224,8228) = 4

GCF of 8224 and 8228

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

GCF of:
and

Greatest Common Factor of 8224 and 8228

GCF of 8224 and 8228 is 4

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

Prime Factorization of 8228


2 8228
2 4114
11 2057
11 187
17 17
1

Prime factors of 8228 are 2,11,17. Prime factorization of 8228 in exponential form is:

8228 = 22×112×171

∴ So by taking common prime factors GCF of 8224 and 8228 is 4

Greatest Common Factor of 8224 and 8228 by matching factors method

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

Factors of 8228

List of positive integer factors of 8228 that divides 8228 without a remainder.

1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228

Greatest Common Factor

We found the factors and prime factorization of 8224 and 8228. The biggest common factor number is the GCF number.
So the greatest common factor 8224 and 8228 is 4.

Also check out the Least Common Multiple of 8224 and 8228

Properties of GCF 8224 and 8228

(i) The GCF of 8224 and 8228 is associative

GCF of 8224 and 8228 = GCF of 8228 and 8224

Related Greatest Common Factor of 8224

Related Greatest Common Factor of 8228

Frequently Asked Questions on GCF of 8224 and 8228

1. What is the GCF of 8224 and 8228?

Answer: GCF of 8224 and 8228 is 4.

2. 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.

3. What are the Factors of 8228?

Answer: Factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228. There are 18 integers that are factors of 8228. The greatest factor of 8228 is 8228.

4. How to Find the GCF of 8224 and 8228?

Answer:

Greatest Common Factor of 8224 and 8228 = 4

Step 1: Find the prime factorization of 8224

8224 = 2 x 2 x 2 x 2 x 2 x 257

Step 2: Find the prime factorization of 8228

8228 = 2 x 2 x 11 x 11 x 17

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8224 and 8228 is 4