What is the Greatest Common Factor of 81712 and 81728?

Greatest common factor (GCF) of 81712 and 81728 is 16.

GCF(81712,81728) = 16

We will now calculate the prime factors of 81712 and 81728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81712 and 81728.

How to find the GCF of 81712 and 81728?

We will first find the prime factorization of 81712 and 81728. After we will calculate the factors of 81712 and 81728 and find the biggest common factor number .

Step-1: Prime Factorization of 81712

Prime factors of 81712 are 2, 5107. Prime factorization of 81712 in exponential form is:

81712 = 2⁴ × 5107¹

Step-2: Prime Factorization of 81728

Prime factors of 81728 are 2, 1277. Prime factorization of 81728 in exponential form is:

81728 = 2⁶ × 1277¹

Step-3: Factors of 81712

List of positive integer factors of 81712 that divides 81712 without a remainder.

1, 2, 4, 8, 16, 5107, 10214, 20428, 40856

Step-4: Factors of 81728

List of positive integer factors of 81728 that divides 81712 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1277, 2554, 5108, 10216, 20432, 40864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81712 and 81728. The biggest common factor number is the GCF number.
So the greatest common factor 81712 and 81728 is 16.

Also check out the Least Common Multiple of 81712 and 81728