Greatest Common Factor of 8216 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 8216, 8224 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8216 and 8224 is 8.

GCF(8216,8224) = 8

GCF of 8216 and 8224

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

GCF of:
and

Greatest Common Factor of 8216 and 8224

GCF of 8216 and 8224 is 8

Prime Factorization of 8216


2 8216
2 4108
2 2054
13 1027
79 79
1

Prime factors of 8216 are 2,13,79. Prime factorization of 8216 in exponential form is:

8216 = 23×131×791

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 8216 and 8224 is 8

Greatest Common Factor of 8216 and 8224 by matching factors method

Factors of 8216

List of positive integer factors of 8216 that divides 8216 without a remainder.

1,2,4,8,13,26,52,79,104,158,316,632,1027,2054,4108,8216

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 8216 and 8224. The biggest common factor number is the GCF number.
So the greatest common factor 8216 and 8224 is 8.

Also check out the Least Common Multiple of 8216 and 8224

Properties of GCF 8216 and 8224

(i) The GCF of 8216 and 8224 is associative

GCF of 8216 and 8224 = GCF of 8224 and 8216

Related Greatest Common Factor of 8216

Related Greatest Common Factor of 8224

Frequently Asked Questions on GCF of 8216 and 8224

1. What is the GCF of 8216 and 8224?

Answer: GCF of 8216 and 8224 is 8.

2. What are the Factors of 8216?

Answer: Factors of 8216 are 1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216. There are 16 integers that are factors of 8216. The greatest factor of 8216 is 8216.

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 8216 and 8224?

Answer:

Greatest Common Factor of 8216 and 8224 = 8

Step 1: Find the prime factorization of 8216

8216 = 2 x 2 x 2 x 13 x 79

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 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8216 and 8224 is 8