What is the Greatest Common Factor of 81100 and 81105?

Greatest common factor (GCF) of 81100 and 81105 is 5.

GCF(81100,81105) = 5

We will now calculate the prime factors of 81100 and 81105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81100 and 81105.

How to find the GCF of 81100 and 81105?

We will first find the prime factorization of 81100 and 81105. After we will calculate the factors of 81100 and 81105 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81105

Prime factors of 81105 are 3, 5, 5407. Prime factorization of 81105 in exponential form is:

81105 = 3¹ × 5¹ × 5407¹

Step-3: Factors of 81100

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

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

Step-4: Factors of 81105

List of positive integer factors of 81105 that divides 81100 without a remainder.

1, 3, 5, 15, 5407, 16221, 27035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81100 and 81105. The biggest common factor number is the GCF number.
So the greatest common factor 81100 and 81105 is 5.

Also check out the Least Common Multiple of 81100 and 81105