What is the Greatest Common Factor of 85808 and 85824?

Greatest common factor (GCF) of 85808 and 85824 is 16.

GCF(85808,85824) = 16

We will now calculate the prime factors of 85808 and 85824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85808 and 85824.

How to find the GCF of 85808 and 85824?

We will first find the prime factorization of 85808 and 85824. After we will calculate the factors of 85808 and 85824 and find the biggest common factor number .

Step-1: Prime Factorization of 85808

Prime factors of 85808 are 2, 31, 173. Prime factorization of 85808 in exponential form is:

85808 = 2⁴ × 31¹ × 173¹

Step-2: Prime Factorization of 85824

Prime factors of 85824 are 2, 3, 149. Prime factorization of 85824 in exponential form is:

85824 = 2⁶ × 3² × 149¹

Step-3: Factors of 85808

List of positive integer factors of 85808 that divides 85808 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 173, 248, 346, 496, 692, 1384, 2768, 5363, 10726, 21452, 42904

Step-4: Factors of 85824

List of positive integer factors of 85824 that divides 85808 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 149, 192, 288, 298, 447, 576, 596, 894, 1192, 1341, 1788, 2384, 2682, 3576, 4768, 5364, 7152, 9536, 10728, 14304, 21456, 28608, 42912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85808 and 85824. The biggest common factor number is the GCF number.
So the greatest common factor 85808 and 85824 is 16.

Also check out the Least Common Multiple of 85808 and 85824