What is the Greatest Common Factor of 8221 and 8234?

Greatest common factor (GCF) of 8221 and 8234 is 1.

GCF(8221,8234) = 1

We will now calculate the prime factors of 8221 and 8234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8221 and 8234.

How to find the GCF of 8221 and 8234?

We will first find the prime factorization of 8221 and 8234. After we will calculate the factors of 8221 and 8234 and find the biggest common factor number .

Step-1: Prime Factorization of 8221

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

8221 = 8221¹

Step-2: Prime Factorization of 8234

Prime factors of 8234 are 2, 23, 179. Prime factorization of 8234 in exponential form is:

8234 = 2¹ × 23¹ × 179¹

Step-3: Factors of 8221

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

Step-4: Factors of 8234

List of positive integer factors of 8234 that divides 8221 without a remainder.

1, 2, 23, 46, 179, 358, 4117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8221 and 8234. The biggest common factor number is the GCF number.
So the greatest common factor 8221 and 8234 is 1.

Also check out the Least Common Multiple of 8221 and 8234