What is the Greatest Common Factor of 8214 and 8221?

Greatest common factor (GCF) of 8214 and 8221 is 1.

GCF(8214,8221) = 1

We will now calculate the prime factors of 8214 and 8221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8214 and 8221.

How to find the GCF of 8214 and 8221?

We will first find the prime factorization of 8214 and 8221. After we will calculate the factors of 8214 and 8221 and find the biggest common factor number .

Step-1: Prime Factorization of 8214

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

8214 = 2¹ × 3¹ × 37²

Step-2: Prime Factorization of 8221

Prime factors of 8221 are 8221. Prime factorization of 8221 in exponential form is:

8221 = 8221¹

Step-3: 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

Step-4: Factors of 8221

List of positive integer factors of 8221 that divides 8214 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8214 and 8221. The biggest common factor number is the GCF number.
So the greatest common factor 8214 and 8221 is 1.

Also check out the Least Common Multiple of 8214 and 8221