What is the Greatest Common Factor of 8226 and 8243?

Greatest common factor (GCF) of 8226 and 8243 is 1.

GCF(8226,8243) = 1

We will now calculate the prime factors of 8226 and 8243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8226 and 8243.

How to find the GCF of 8226 and 8243?

We will first find the prime factorization of 8226 and 8243. After we will calculate the factors of 8226 and 8243 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 8243

Prime factors of 8243 are 8243. Prime factorization of 8243 in exponential form is:

8243 = 8243¹

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 8243

List of positive integer factors of 8243 that divides 8226 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8226 and 8243. The biggest common factor number is the GCF number.
So the greatest common factor 8226 and 8243 is 1.

Also check out the Least Common Multiple of 8226 and 8243