Greatest Common Factor of 8214 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 8214, 8222 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8214 and 8222 is 2.

GCF(8214,8222) = 2

GCF of 8214 and 8222

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

GCF of:
and

Greatest Common Factor of 8214 and 8222

GCF of 8214 and 8222 is 2

Prime Factorization of 8214


2 8214
3 4107
37 1369
37 37
1

Prime factors of 8214 are 2,3,37. Prime factorization of 8214 in exponential form is:

8214 = 21×31×372

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 8214 and 8222 is 2

Greatest Common Factor of 8214 and 8222 by matching factors method

Factors of 8214

List of positive integer factors of 8214 that divides 8214 without a remainder.

1,2,3,6,37,74,111,222,1369,2738,4107,8214

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 8214 and 8222. The biggest common factor number is the GCF number.
So the greatest common factor 8214 and 8222 is 2.

Also check out the Least Common Multiple of 8214 and 8222

Properties of GCF 8214 and 8222

(i) The GCF of 8214 and 8222 is associative

GCF of 8214 and 8222 = GCF of 8222 and 8214

Related Greatest Common Factor of 8214

Related Greatest Common Factor of 8222

Frequently Asked Questions on GCF of 8214 and 8222

1. What is the GCF of 8214 and 8222?

Answer: GCF of 8214 and 8222 is 2.

2. What are the Factors of 8214?

Answer: Factors of 8214 are 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214. There are 12 integers that are factors of 8214. The greatest factor of 8214 is 8214.

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 8214 and 8222?

Answer:

Greatest Common Factor of 8214 and 8222 = 2

Step 1: Find the prime factorization of 8214

8214 = 2 x 3 x 37 x 37

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 8214 and 8222 is 2