What is the Greatest Common Factor of 86816 and 86824?

Greatest common factor (GCF) of 86816 and 86824 is 8.

GCF(86816,86824) = 8

We will now calculate the prime factors of 86816 and 86824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86816 and 86824.

How to find the GCF of 86816 and 86824?

We will first find the prime factorization of 86816 and 86824. After we will calculate the factors of 86816 and 86824 and find the biggest common factor number .

Step-1: Prime Factorization of 86816

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

86816 = 2⁵ × 2713¹

Step-2: Prime Factorization of 86824

Prime factors of 86824 are 2, 10853. Prime factorization of 86824 in exponential form is:

86824 = 2³ × 10853¹

Step-3: Factors of 86816

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

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

Step-4: Factors of 86824

List of positive integer factors of 86824 that divides 86816 without a remainder.

1, 2, 4, 8, 10853, 21706, 43412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86816 and 86824. The biggest common factor number is the GCF number.
So the greatest common factor 86816 and 86824 is 8.

Also check out the Least Common Multiple of 86816 and 86824