What is the Greatest Common Factor of 85824 and 85833?

Greatest common factor (GCF) of 85824 and 85833 is 9.

GCF(85824,85833) = 9

We will now calculate the prime factors of 85824 and 85833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85824 and 85833.

How to find the GCF of 85824 and 85833?

We will first find the prime factorization of 85824 and 85833. After we will calculate the factors of 85824 and 85833 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85833

Prime factors of 85833 are 3, 11, 17. Prime factorization of 85833 in exponential form is:

85833 = 3³ × 11¹ × 17²

Step-3: Factors of 85824

List of positive integer factors of 85824 that divides 85824 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

Step-4: Factors of 85833

List of positive integer factors of 85833 that divides 85824 without a remainder.

1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 289, 297, 459, 561, 867, 1683, 2601, 3179, 5049, 7803, 9537, 28611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85824 and 85833. The biggest common factor number is the GCF number.
So the greatest common factor 85824 and 85833 is 9.

Also check out the Least Common Multiple of 85824 and 85833