What is the Greatest Common Factor of 81456 and 81465?

Greatest common factor (GCF) of 81456 and 81465 is 3.

GCF(81456,81465) = 3

We will now calculate the prime factors of 81456 and 81465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81456 and 81465.

How to find the GCF of 81456 and 81465?

We will first find the prime factorization of 81456 and 81465. After we will calculate the factors of 81456 and 81465 and find the biggest common factor number .

Step-1: Prime Factorization of 81456

Prime factors of 81456 are 2, 3, 1697. Prime factorization of 81456 in exponential form is:

81456 = 2⁴ × 3¹ × 1697¹

Step-2: Prime Factorization of 81465

Prime factors of 81465 are 3, 5, 5431. Prime factorization of 81465 in exponential form is:

81465 = 3¹ × 5¹ × 5431¹

Step-3: Factors of 81456

List of positive integer factors of 81456 that divides 81456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1697, 3394, 5091, 6788, 10182, 13576, 20364, 27152, 40728

Step-4: Factors of 81465

List of positive integer factors of 81465 that divides 81456 without a remainder.

1, 3, 5, 15, 5431, 16293, 27155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81456 and 81465. The biggest common factor number is the GCF number.
So the greatest common factor 81456 and 81465 is 3.

Also check out the Least Common Multiple of 81456 and 81465