What is the Greatest Common Factor of 81728 and 81748?

Greatest common factor (GCF) of 81728 and 81748 is 4.

GCF(81728,81748) = 4

We will now calculate the prime factors of 81728 and 81748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81728 and 81748.

How to find the GCF of 81728 and 81748?

We will first find the prime factorization of 81728 and 81748. After we will calculate the factors of 81728 and 81748 and find the biggest common factor number .

Step-1: Prime Factorization of 81728

Prime factors of 81728 are 2, 1277. Prime factorization of 81728 in exponential form is:

81728 = 2⁶ × 1277¹

Step-2: Prime Factorization of 81748

Prime factors of 81748 are 2, 107, 191. Prime factorization of 81748 in exponential form is:

81748 = 2² × 107¹ × 191¹

Step-3: Factors of 81728

List of positive integer factors of 81728 that divides 81728 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1277, 2554, 5108, 10216, 20432, 40864

Step-4: Factors of 81748

List of positive integer factors of 81748 that divides 81728 without a remainder.

1, 2, 4, 107, 191, 214, 382, 428, 764, 20437, 40874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81728 and 81748. The biggest common factor number is the GCF number.
So the greatest common factor 81728 and 81748 is 4.

Also check out the Least Common Multiple of 81728 and 81748