What is the Greatest Common Factor of 82048 and 82064?

Greatest common factor (GCF) of 82048 and 82064 is 16.

GCF(82048,82064) = 16

We will now calculate the prime factors of 82048 and 82064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82048 and 82064.

How to find the GCF of 82048 and 82064?

We will first find the prime factorization of 82048 and 82064. After we will calculate the factors of 82048 and 82064 and find the biggest common factor number .

Step-1: Prime Factorization of 82048

Prime factors of 82048 are 2, 641. Prime factorization of 82048 in exponential form is:

82048 = 2⁷ × 641¹

Step-2: Prime Factorization of 82064

Prime factors of 82064 are 2, 23, 223. Prime factorization of 82064 in exponential form is:

82064 = 2⁴ × 23¹ × 223¹

Step-3: Factors of 82048

List of positive integer factors of 82048 that divides 82048 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 641, 1282, 2564, 5128, 10256, 20512, 41024

Step-4: Factors of 82064

List of positive integer factors of 82064 that divides 82048 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 223, 368, 446, 892, 1784, 3568, 5129, 10258, 20516, 41032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82048 and 82064. The biggest common factor number is the GCF number.
So the greatest common factor 82048 and 82064 is 16.

Also check out the Least Common Multiple of 82048 and 82064