What is the Greatest Common Factor of 85824 and 85832?

Greatest common factor (GCF) of 85824 and 85832 is 8.

GCF(85824,85832) = 8

We will now calculate the prime factors of 85824 and 85832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85824 and 85832.

How to find the GCF of 85824 and 85832?

We will first find the prime factorization of 85824 and 85832. After we will calculate the factors of 85824 and 85832 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 85832

Prime factors of 85832 are 2, 10729. Prime factorization of 85832 in exponential form is:

85832 = 2³ × 10729¹

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 85832

List of positive integer factors of 85832 that divides 85824 without a remainder.

1, 2, 4, 8, 10729, 21458, 42916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85824 and 85832. The biggest common factor number is the GCF number.
So the greatest common factor 85824 and 85832 is 8.

Also check out the Least Common Multiple of 85824 and 85832