What is the Greatest Common Factor of 81288 and 81296?

Greatest common factor (GCF) of 81288 and 81296 is 8.

GCF(81288,81296) = 8

We will now calculate the prime factors of 81288 and 81296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81288 and 81296.

How to find the GCF of 81288 and 81296?

We will first find the prime factorization of 81288 and 81296. After we will calculate the factors of 81288 and 81296 and find the biggest common factor number .

Step-1: Prime Factorization of 81288

Prime factors of 81288 are 2, 3, 1129. Prime factorization of 81288 in exponential form is:

81288 = 2³ × 3² × 1129¹

Step-2: Prime Factorization of 81296

Prime factors of 81296 are 2, 5081. Prime factorization of 81296 in exponential form is:

81296 = 2⁴ × 5081¹

Step-3: Factors of 81288

List of positive integer factors of 81288 that divides 81288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1129, 2258, 3387, 4516, 6774, 9032, 10161, 13548, 20322, 27096, 40644

Step-4: Factors of 81296

List of positive integer factors of 81296 that divides 81288 without a remainder.

1, 2, 4, 8, 16, 5081, 10162, 20324, 40648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81288 and 81296. The biggest common factor number is the GCF number.
So the greatest common factor 81288 and 81296 is 8.

Also check out the Least Common Multiple of 81288 and 81296