What is the Greatest Common Factor of 81065 and 81085?

Greatest common factor (GCF) of 81065 and 81085 is 5.

GCF(81065,81085) = 5

We will now calculate the prime factors of 81065 and 81085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81065 and 81085.

How to find the GCF of 81065 and 81085?

We will first find the prime factorization of 81065 and 81085. After we will calculate the factors of 81065 and 81085 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81085

Prime factors of 81085 are 5, 16217. Prime factorization of 81085 in exponential form is:

81085 = 5¹ × 16217¹

Step-3: Factors of 81065

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

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

Step-4: Factors of 81085

List of positive integer factors of 81085 that divides 81065 without a remainder.

1, 5, 16217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81065 and 81085. The biggest common factor number is the GCF number.
So the greatest common factor 81065 and 81085 is 5.

Also check out the Least Common Multiple of 81065 and 81085