What is the Greatest Common Factor of 82816 and 82832?

Greatest common factor (GCF) of 82816 and 82832 is 16.

GCF(82816,82832) = 16

We will now calculate the prime factors of 82816 and 82832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82816 and 82832.

How to find the GCF of 82816 and 82832?

We will first find the prime factorization of 82816 and 82832. After we will calculate the factors of 82816 and 82832 and find the biggest common factor number .

Step-1: Prime Factorization of 82816

Prime factors of 82816 are 2, 647. Prime factorization of 82816 in exponential form is:

82816 = 2⁷ × 647¹

Step-2: Prime Factorization of 82832

Prime factors of 82832 are 2, 31, 167. Prime factorization of 82832 in exponential form is:

82832 = 2⁴ × 31¹ × 167¹

Step-3: Factors of 82816

List of positive integer factors of 82816 that divides 82816 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 647, 1294, 2588, 5176, 10352, 20704, 41408

Step-4: Factors of 82832

List of positive integer factors of 82832 that divides 82816 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 167, 248, 334, 496, 668, 1336, 2672, 5177, 10354, 20708, 41416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82816 and 82832. The biggest common factor number is the GCF number.
So the greatest common factor 82816 and 82832 is 16.

Also check out the Least Common Multiple of 82816 and 82832