What is the Greatest Common Factor of 71728 and 71733?

Greatest common factor (GCF) of 71728 and 71733 is 1.

GCF(71728,71733) = 1

We will now calculate the prime factors of 71728 and 71733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71728 and 71733.

How to find the GCF of 71728 and 71733?

We will first find the prime factorization of 71728 and 71733. After we will calculate the factors of 71728 and 71733 and find the biggest common factor number .

Step-1: Prime Factorization of 71728

Prime factors of 71728 are 2, 4483. Prime factorization of 71728 in exponential form is:

71728 = 2⁴ × 4483¹

Step-2: Prime Factorization of 71733

Prime factors of 71733 are 3, 23911. Prime factorization of 71733 in exponential form is:

71733 = 3¹ × 23911¹

Step-3: Factors of 71728

List of positive integer factors of 71728 that divides 71728 without a remainder.

1, 2, 4, 8, 16, 4483, 8966, 17932, 35864

Step-4: Factors of 71733

List of positive integer factors of 71733 that divides 71728 without a remainder.

1, 3, 23911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71728 and 71733. The biggest common factor number is the GCF number.
So the greatest common factor 71728 and 71733 is 1.

Also check out the Least Common Multiple of 71728 and 71733