What is the Greatest Common Factor of 81009 and 81015?

Greatest common factor (GCF) of 81009 and 81015 is 3.

GCF(81009,81015) = 3

We will now calculate the prime factors of 81009 and 81015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81009 and 81015.

How to find the GCF of 81009 and 81015?

We will first find the prime factorization of 81009 and 81015. After we will calculate the factors of 81009 and 81015 and find the biggest common factor number .

Step-1: Prime Factorization of 81009

Prime factors of 81009 are 3, 9001. Prime factorization of 81009 in exponential form is:

81009 = 3² × 9001¹

Step-2: Prime Factorization of 81015

Prime factors of 81015 are 3, 5, 11, 491. Prime factorization of 81015 in exponential form is:

81015 = 3¹ × 5¹ × 11¹ × 491¹

Step-3: Factors of 81009

List of positive integer factors of 81009 that divides 81009 without a remainder.

1, 3, 9, 9001, 27003

Step-4: Factors of 81015

List of positive integer factors of 81015 that divides 81009 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 491, 1473, 2455, 5401, 7365, 16203, 27005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81009 and 81015. The biggest common factor number is the GCF number.
So the greatest common factor 81009 and 81015 is 3.

Also check out the Least Common Multiple of 81009 and 81015