What is the Greatest Common Factor of 81105 and 81117?

Greatest common factor (GCF) of 81105 and 81117 is 3.

GCF(81105,81117) = 3

We will now calculate the prime factors of 81105 and 81117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81105 and 81117.

How to find the GCF of 81105 and 81117?

We will first find the prime factorization of 81105 and 81117. After we will calculate the factors of 81105 and 81117 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81117

Prime factors of 81117 are 3, 9013. Prime factorization of 81117 in exponential form is:

81117 = 3² × 9013¹

Step-3: Factors of 81105

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

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

Step-4: Factors of 81117

List of positive integer factors of 81117 that divides 81105 without a remainder.

1, 3, 9, 9013, 27039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81105 and 81117. The biggest common factor number is the GCF number.
So the greatest common factor 81105 and 81117 is 3.

Also check out the Least Common Multiple of 81105 and 81117