What is the Greatest Common Factor of 81680 and 81696?

Greatest common factor (GCF) of 81680 and 81696 is 16.

GCF(81680,81696) = 16

We will now calculate the prime factors of 81680 and 81696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81680 and 81696.

How to find the GCF of 81680 and 81696?

We will first find the prime factorization of 81680 and 81696. After we will calculate the factors of 81680 and 81696 and find the biggest common factor number .

Step-1: Prime Factorization of 81680

Prime factors of 81680 are 2, 5, 1021. Prime factorization of 81680 in exponential form is:

81680 = 2⁴ × 5¹ × 1021¹

Step-2: 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-3: Factors of 81680

List of positive integer factors of 81680 that divides 81680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1021, 2042, 4084, 5105, 8168, 10210, 16336, 20420, 40840

Step-4: Factors of 81696

List of positive integer factors of 81696 that divides 81680 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81680 and 81696. The biggest common factor number is the GCF number.
So the greatest common factor 81680 and 81696 is 16.

Also check out the Least Common Multiple of 81680 and 81696