What is the Greatest Common Factor of 81696 and 81712?

Greatest common factor (GCF) of 81696 and 81712 is 16.

GCF(81696,81712) = 16

We will now calculate the prime factors of 81696 and 81712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81696 and 81712.

How to find the GCF of 81696 and 81712?

We will first find the prime factorization of 81696 and 81712. After we will calculate the factors of 81696 and 81712 and find the biggest common factor number .

Step-1: Prime Factorization of 81696

Prime factors of 81696 are 2, 3, 23, 37. Prime factorization of 81696 in exponential form is:

81696 = 2⁵ × 3¹ × 23¹ × 37¹

Step-2: Prime Factorization of 81712

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

81712 = 2⁴ × 5107¹

Step-3: Factors of 81696

List of positive integer factors of 81696 that divides 81696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 37, 46, 48, 69, 74, 92, 96, 111, 138, 148, 184, 222, 276, 296, 368, 444, 552, 592, 736, 851, 888, 1104, 1184, 1702, 1776, 2208, 2553, 3404, 3552, 5106, 6808, 10212, 13616, 20424, 27232, 40848

Step-4: Factors of 81712

List of positive integer factors of 81712 that divides 81696 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81696 and 81712. The biggest common factor number is the GCF number.
So the greatest common factor 81696 and 81712 is 16.

Also check out the Least Common Multiple of 81696 and 81712