What is the Greatest Common Factor of 81680 and 81685?

Greatest common factor (GCF) of 81680 and 81685 is 5.

GCF(81680,81685) = 5

We will now calculate the prime factors of 81680 and 81685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81680 and 81685.

How to find the GCF of 81680 and 81685?

We will first find the prime factorization of 81680 and 81685. After we will calculate the factors of 81680 and 81685 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 81685

Prime factors of 81685 are 5, 17, 31. Prime factorization of 81685 in exponential form is:

81685 = 5¹ × 17¹ × 31²

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 81685

List of positive integer factors of 81685 that divides 81680 without a remainder.

1, 5, 17, 31, 85, 155, 527, 961, 2635, 4805, 16337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81680 and 81685. The biggest common factor number is the GCF number.
So the greatest common factor 81680 and 81685 is 5.

Also check out the Least Common Multiple of 81680 and 81685