What is the Greatest Common Factor of 81414 and 81418?

Greatest common factor (GCF) of 81414 and 81418 is 2.

GCF(81414,81418) = 2

We will now calculate the prime factors of 81414 and 81418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81414 and 81418.

How to find the GCF of 81414 and 81418?

We will first find the prime factorization of 81414 and 81418. After we will calculate the factors of 81414 and 81418 and find the biggest common factor number .

Step-1: Prime Factorization of 81414

Prime factors of 81414 are 2, 3, 4523. Prime factorization of 81414 in exponential form is:

81414 = 2¹ × 3² × 4523¹

Step-2: Prime Factorization of 81418

Prime factors of 81418 are 2, 40709. Prime factorization of 81418 in exponential form is:

81418 = 2¹ × 40709¹

Step-3: Factors of 81414

List of positive integer factors of 81414 that divides 81414 without a remainder.

1, 2, 3, 6, 9, 18, 4523, 9046, 13569, 27138, 40707

Step-4: Factors of 81418

List of positive integer factors of 81418 that divides 81414 without a remainder.

1, 2, 40709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81414 and 81418. The biggest common factor number is the GCF number.
So the greatest common factor 81414 and 81418 is 2.

Also check out the Least Common Multiple of 81414 and 81418