What is the Greatest Common Factor of 81489 and 81495?

Greatest common factor (GCF) of 81489 and 81495 is 3.

GCF(81489,81495) = 3

We will now calculate the prime factors of 81489 and 81495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81489 and 81495.

How to find the GCF of 81489 and 81495?

We will first find the prime factorization of 81489 and 81495. After we will calculate the factors of 81489 and 81495 and find the biggest common factor number .

Step-1: Prime Factorization of 81489

Prime factors of 81489 are 3, 23, 1181. Prime factorization of 81489 in exponential form is:

81489 = 3¹ × 23¹ × 1181¹

Step-2: Prime Factorization of 81495

Prime factors of 81495 are 3, 5, 1811. Prime factorization of 81495 in exponential form is:

81495 = 3² × 5¹ × 1811¹

Step-3: Factors of 81489

List of positive integer factors of 81489 that divides 81489 without a remainder.

1, 3, 23, 69, 1181, 3543, 27163

Step-4: Factors of 81495

List of positive integer factors of 81495 that divides 81489 without a remainder.

1, 3, 5, 9, 15, 45, 1811, 5433, 9055, 16299, 27165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81489 and 81495. The biggest common factor number is the GCF number.
So the greatest common factor 81489 and 81495 is 3.

Also check out the Least Common Multiple of 81489 and 81495