What is the Greatest Common Factor of 86805 and 86816?

Greatest common factor (GCF) of 86805 and 86816 is 1.

GCF(86805,86816) = 1

We will now calculate the prime factors of 86805 and 86816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86805 and 86816.

How to find the GCF of 86805 and 86816?

We will first find the prime factorization of 86805 and 86816. After we will calculate the factors of 86805 and 86816 and find the biggest common factor number .

Step-1: Prime Factorization of 86805

Prime factors of 86805 are 3, 5, 643. Prime factorization of 86805 in exponential form is:

86805 = 3³ × 5¹ × 643¹

Step-2: Prime Factorization of 86816

Prime factors of 86816 are 2, 2713. Prime factorization of 86816 in exponential form is:

86816 = 2⁵ × 2713¹

Step-3: Factors of 86805

List of positive integer factors of 86805 that divides 86805 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 643, 1929, 3215, 5787, 9645, 17361, 28935

Step-4: Factors of 86816

List of positive integer factors of 86816 that divides 86805 without a remainder.

1, 2, 4, 8, 16, 32, 2713, 5426, 10852, 21704, 43408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86805 and 86816. The biggest common factor number is the GCF number.
So the greatest common factor 86805 and 86816 is 1.

Also check out the Least Common Multiple of 86805 and 86816