What is the Greatest Common Factor of 86368 and 86384?

Greatest common factor (GCF) of 86368 and 86384 is 16.

GCF(86368,86384) = 16

We will now calculate the prime factors of 86368 and 86384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86368 and 86384.

How to find the GCF of 86368 and 86384?

We will first find the prime factorization of 86368 and 86384. After we will calculate the factors of 86368 and 86384 and find the biggest common factor number .

Step-1: Prime Factorization of 86368

Prime factors of 86368 are 2, 2699. Prime factorization of 86368 in exponential form is:

86368 = 2⁵ × 2699¹

Step-2: Prime Factorization of 86384

Prime factors of 86384 are 2, 5399. Prime factorization of 86384 in exponential form is:

86384 = 2⁴ × 5399¹

Step-3: Factors of 86368

List of positive integer factors of 86368 that divides 86368 without a remainder.

1, 2, 4, 8, 16, 32, 2699, 5398, 10796, 21592, 43184

Step-4: Factors of 86384

List of positive integer factors of 86384 that divides 86368 without a remainder.

1, 2, 4, 8, 16, 5399, 10798, 21596, 43192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86368 and 86384. The biggest common factor number is the GCF number.
So the greatest common factor 86368 and 86384 is 16.

Also check out the Least Common Multiple of 86368 and 86384