What is the Greatest Common Factor of 81444 and 81456?

Greatest common factor (GCF) of 81444 and 81456 is 12.

GCF(81444,81456) = 12

We will now calculate the prime factors of 81444 and 81456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81444 and 81456.

How to find the GCF of 81444 and 81456?

We will first find the prime factorization of 81444 and 81456. After we will calculate the factors of 81444 and 81456 and find the biggest common factor number .

Step-1: Prime Factorization of 81444

Prime factors of 81444 are 2, 3, 11, 617. Prime factorization of 81444 in exponential form is:

81444 = 2² × 3¹ × 11¹ × 617¹

Step-2: 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-3: Factors of 81444

List of positive integer factors of 81444 that divides 81444 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 617, 1234, 1851, 2468, 3702, 6787, 7404, 13574, 20361, 27148, 40722

Step-4: Factors of 81456

List of positive integer factors of 81456 that divides 81444 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81444 and 81456. The biggest common factor number is the GCF number.
So the greatest common factor 81444 and 81456 is 12.

Also check out the Least Common Multiple of 81444 and 81456