What is the Greatest Common Factor of 82848 and 82864?

Greatest common factor (GCF) of 82848 and 82864 is 16.

GCF(82848,82864) = 16

We will now calculate the prime factors of 82848 and 82864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82848 and 82864.

How to find the GCF of 82848 and 82864?

We will first find the prime factorization of 82848 and 82864. After we will calculate the factors of 82848 and 82864 and find the biggest common factor number .

Step-1: Prime Factorization of 82848

Prime factors of 82848 are 2, 3, 863. Prime factorization of 82848 in exponential form is:

82848 = 2⁵ × 3¹ × 863¹

Step-2: Prime Factorization of 82864

Prime factors of 82864 are 2, 5179. Prime factorization of 82864 in exponential form is:

82864 = 2⁴ × 5179¹

Step-3: Factors of 82848

List of positive integer factors of 82848 that divides 82848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 863, 1726, 2589, 3452, 5178, 6904, 10356, 13808, 20712, 27616, 41424

Step-4: Factors of 82864

List of positive integer factors of 82864 that divides 82848 without a remainder.

1, 2, 4, 8, 16, 5179, 10358, 20716, 41432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82848 and 82864. The biggest common factor number is the GCF number.
So the greatest common factor 82848 and 82864 is 16.

Also check out the Least Common Multiple of 82848 and 82864