What is the Greatest Common Factor of 8206 and 8222?

Greatest common factor (GCF) of 8206 and 8222 is 2.

GCF(8206,8222) = 2

We will now calculate the prime factors of 8206 and 8222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8206 and 8222.

How to find the GCF of 8206 and 8222?

We will first find the prime factorization of 8206 and 8222. After we will calculate the factors of 8206 and 8222 and find the biggest common factor number .

Step-1: Prime Factorization of 8206

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

8206 = 2¹ × 11¹ × 373¹

Step-2: Prime Factorization of 8222

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

8222 = 2¹ × 4111¹

Step-3: Factors of 8206

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

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

Step-4: Factors of 8222

List of positive integer factors of 8222 that divides 8206 without a remainder.

1, 2, 4111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8206 and 8222. The biggest common factor number is the GCF number.
So the greatest common factor 8206 and 8222 is 2.

Also check out the Least Common Multiple of 8206 and 8222