What is the Greatest Common Factor of 81045 and 81065?

Greatest common factor (GCF) of 81045 and 81065 is 5.

GCF(81045,81065) = 5

We will now calculate the prime factors of 81045 and 81065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81045 and 81065.

How to find the GCF of 81045 and 81065?

We will first find the prime factorization of 81045 and 81065. After we will calculate the factors of 81045 and 81065 and find the biggest common factor number .

Step-1: Prime Factorization of 81045

Prime factors of 81045 are 3, 5, 1801. Prime factorization of 81045 in exponential form is:

81045 = 3² × 5¹ × 1801¹

Step-2: Prime Factorization of 81065

Prime factors of 81065 are 5, 31, 523. Prime factorization of 81065 in exponential form is:

81065 = 5¹ × 31¹ × 523¹

Step-3: Factors of 81045

List of positive integer factors of 81045 that divides 81045 without a remainder.

1, 3, 5, 9, 15, 45, 1801, 5403, 9005, 16209, 27015

Step-4: Factors of 81065

List of positive integer factors of 81065 that divides 81045 without a remainder.

1, 5, 31, 155, 523, 2615, 16213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81045 and 81065. The biggest common factor number is the GCF number.
So the greatest common factor 81045 and 81065 is 5.

Also check out the Least Common Multiple of 81045 and 81065