Greatest Common Factor of 8206 and 8214

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 8206, 8214 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8206 and 8214 is 2.

GCF(8206,8214) = 2

GCF of 8206 and 8214

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

GCF of:
and

Greatest Common Factor of 8206 and 8214

GCF of 8206 and 8214 is 2

Prime Factorization of 8206


2 8206
11 4103
373 373
1

Prime factors of 8206 are 2,11,373. Prime factorization of 8206 in exponential form is:

8206 = 21×111×3731

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

∴ So by taking common prime factors GCF of 8206 and 8214 is 2

Greatest Common Factor of 8206 and 8214 by matching factors method

Factors of 8206

List of positive integer factors of 8206 that divides 8206 without a remainder.

1,2,11,22,373,746,4103,8206

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

Greatest Common Factor

We found the factors and prime factorization of 8206 and 8214. The biggest common factor number is the GCF number.
So the greatest common factor 8206 and 8214 is 2.

Also check out the Least Common Multiple of 8206 and 8214

Properties of GCF 8206 and 8214

(i) The GCF of 8206 and 8214 is associative

GCF of 8206 and 8214 = GCF of 8214 and 8206

Related Greatest Common Factor of 8206

Related Greatest Common Factor of 8214

Frequently Asked Questions on GCF of 8206 and 8214

1. What is the GCF of 8206 and 8214?

Answer: GCF of 8206 and 8214 is 2.

2. What are the Factors of 8206?

Answer: Factors of 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206. There are 8 integers that are factors of 8206. The greatest factor of 8206 is 8206.

3. 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.

4. How to Find the GCF of 8206 and 8214?

Answer:

Greatest Common Factor of 8206 and 8214 = 2

Step 1: Find the prime factorization of 8206

8206 = 2 x 11 x 373

Step 2: Find the prime factorization of 8214

8214 = 2 x 3 x 37 x 37

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 8206 and 8214 is 2