What is the Greatest Common Factor of 8226 and 8234?

Greatest common factor (GCF) of 8226 and 8234 is 2.

GCF(8226,8234) = 2

We will now calculate the prime factors of 8226 and 8234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8226 and 8234.

How to find the GCF of 8226 and 8234?

We will first find the prime factorization of 8226 and 8234. After we will calculate the factors of 8226 and 8234 and find the biggest common factor number .

Step-1: Prime Factorization of 8226

Prime factors of 8226 are 2, 3, 457. Prime factorization of 8226 in exponential form is:

8226 = 2¹ × 3² × 457¹

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 8226

List of positive integer factors of 8226 that divides 8226 without a remainder.

1, 2, 3, 6, 9, 18, 457, 914, 1371, 2742, 4113

Step-4: Factors of 8234

List of positive integer factors of 8234 that divides 8226 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8226 and 8234. The biggest common factor number is the GCF number.
So the greatest common factor 8226 and 8234 is 2.

Also check out the Least Common Multiple of 8226 and 8234