What is the Greatest Common Factor of 85806 and 85824?

Greatest common factor (GCF) of 85806 and 85824 is 18.

GCF(85806,85824) = 18

We will now calculate the prime factors of 85806 and 85824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85806 and 85824.

How to find the GCF of 85806 and 85824?

We will first find the prime factorization of 85806 and 85824. After we will calculate the factors of 85806 and 85824 and find the biggest common factor number .

Step-1: Prime Factorization of 85806

Prime factors of 85806 are 2, 3, 7, 227. Prime factorization of 85806 in exponential form is:

85806 = 2¹ × 3³ × 7¹ × 227¹

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 85806

List of positive integer factors of 85806 that divides 85806 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 227, 378, 454, 681, 1362, 1589, 2043, 3178, 4086, 4767, 6129, 9534, 12258, 14301, 28602, 42903

Step-4: Factors of 85824

List of positive integer factors of 85824 that divides 85806 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 85806 and 85824. The biggest common factor number is the GCF number.
So the greatest common factor 85806 and 85824 is 18.

Also check out the Least Common Multiple of 85806 and 85824