What is the Greatest Common Factor of 81089 and 81100?

Greatest common factor (GCF) of 81089 and 81100 is 1.

GCF(81089,81100) = 1

We will now calculate the prime factors of 81089 and 81100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81089 and 81100.

How to find the GCF of 81089 and 81100?

We will first find the prime factorization of 81089 and 81100. After we will calculate the factors of 81089 and 81100 and find the biggest common factor number .

Step-1: Prime Factorization of 81089

Prime factors of 81089 are 131, 619. Prime factorization of 81089 in exponential form is:

81089 = 131¹ × 619¹

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 81089

List of positive integer factors of 81089 that divides 81089 without a remainder.

1, 131, 619

Step-4: Factors of 81100

List of positive integer factors of 81100 that divides 81089 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 81089 and 81100. The biggest common factor number is the GCF number.
So the greatest common factor 81089 and 81100 is 1.

Also check out the Least Common Multiple of 81089 and 81100