What is the Greatest Common Factor of 81082 and 81100?

Greatest common factor (GCF) of 81082 and 81100 is 2.

GCF(81082,81100) = 2

We will now calculate the prime factors of 81082 and 81100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81082 and 81100.

How to find the GCF of 81082 and 81100?

We will first find the prime factorization of 81082 and 81100. After we will calculate the factors of 81082 and 81100 and find the biggest common factor number .

Step-1: Prime Factorization of 81082

Prime factors of 81082 are 2, 71, 571. Prime factorization of 81082 in exponential form is:

81082 = 2¹ × 71¹ × 571¹

Step-2: Prime Factorization of 81100

Prime factors of 81100 are 2, 5, 811. Prime factorization of 81100 in exponential form is:

81100 = 2² × 5² × 811¹

Step-3: Factors of 81082

List of positive integer factors of 81082 that divides 81082 without a remainder.

1, 2, 71, 142, 571, 1142, 40541

Step-4: Factors of 81100

List of positive integer factors of 81100 that divides 81082 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 811, 1622, 3244, 4055, 8110, 16220, 20275, 40550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81082 and 81100. The biggest common factor number is the GCF number.
So the greatest common factor 81082 and 81100 is 2.

Also check out the Least Common Multiple of 81082 and 81100