What is the Greatest Common Factor of 82266 and 82281?

Greatest common factor (GCF) of 82266 and 82281 is 3.

GCF(82266,82281) = 3

We will now calculate the prime factors of 82266 and 82281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82266 and 82281.

How to find the GCF of 82266 and 82281?

We will first find the prime factorization of 82266 and 82281. After we will calculate the factors of 82266 and 82281 and find the biggest common factor number .

Step-1: Prime Factorization of 82266

Prime factors of 82266 are 2, 3, 13711. Prime factorization of 82266 in exponential form is:

82266 = 2¹ × 3¹ × 13711¹

Step-2: Prime Factorization of 82281

Prime factors of 82281 are 3, 27427. Prime factorization of 82281 in exponential form is:

82281 = 3¹ × 27427¹

Step-3: Factors of 82266

List of positive integer factors of 82266 that divides 82266 without a remainder.

1, 2, 3, 6, 13711, 27422, 41133

Step-4: Factors of 82281

List of positive integer factors of 82281 that divides 82266 without a remainder.

1, 3, 27427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82266 and 82281. The biggest common factor number is the GCF number.
So the greatest common factor 82266 and 82281 is 3.

Also check out the Least Common Multiple of 82266 and 82281