What is the Greatest Common Factor of 81504 and 81512?

Greatest common factor (GCF) of 81504 and 81512 is 8.

GCF(81504,81512) = 8

We will now calculate the prime factors of 81504 and 81512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81504 and 81512.

How to find the GCF of 81504 and 81512?

We will first find the prime factorization of 81504 and 81512. After we will calculate the factors of 81504 and 81512 and find the biggest common factor number .

Step-1: Prime Factorization of 81504

Prime factors of 81504 are 2, 3, 283. Prime factorization of 81504 in exponential form is:

81504 = 2⁵ × 3² × 283¹

Step-2: Prime Factorization of 81512

Prime factors of 81512 are 2, 23, 443. Prime factorization of 81512 in exponential form is:

81512 = 2³ × 23¹ × 443¹

Step-3: Factors of 81504

List of positive integer factors of 81504 that divides 81504 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 283, 288, 566, 849, 1132, 1698, 2264, 2547, 3396, 4528, 5094, 6792, 9056, 10188, 13584, 20376, 27168, 40752

Step-4: Factors of 81512

List of positive integer factors of 81512 that divides 81504 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 443, 886, 1772, 3544, 10189, 20378, 40756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81504 and 81512. The biggest common factor number is the GCF number.
So the greatest common factor 81504 and 81512 is 8.

Also check out the Least Common Multiple of 81504 and 81512