Greatest Common Factor of 8216 and 8222

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, 8222 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8216 and 8222 is 2.

GCF(8216,8222) = 2

GCF of 8216 and 8222

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

GCF of:
and

Greatest Common Factor of 8216 and 8222

GCF of 8216 and 8222 is 2

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 8222


2 8222
4111 4111
1

Prime factors of 8222 are 2,4111. Prime factorization of 8222 in exponential form is:

8222 = 21×41111

∴ So by taking common prime factors GCF of 8216 and 8222 is 2

Greatest Common Factor of 8216 and 8222 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 8222

List of positive integer factors of 8222 that divides 8222 without a remainder.

1,2,4111,8222

Greatest Common Factor

We found the factors and prime factorization of 8216 and 8222. The biggest common factor number is the GCF number.
So the greatest common factor 8216 and 8222 is 2.

Also check out the Least Common Multiple of 8216 and 8222

Properties of GCF 8216 and 8222

(i) The GCF of 8216 and 8222 is associative

GCF of 8216 and 8222 = GCF of 8222 and 8216

Related Greatest Common Factor of 8216

Related Greatest Common Factor of 8222

Frequently Asked Questions on GCF of 8216 and 8222

1. What is the GCF of 8216 and 8222?

Answer: GCF of 8216 and 8222 is 2.

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 8222?

Answer: Factors of 8222 are 1, 2, 4111, 8222. There are 4 integers that are factors of 8222. The greatest factor of 8222 is 8222.

4. How to Find the GCF of 8216 and 8222?

Answer:

Greatest Common Factor of 8216 and 8222 = 2

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 8222

8222 = 2 x 4111

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 8216 and 8222 is 2