What is the Greatest Common Factor of 33728 and 33743?

Greatest common factor (GCF) of 33728 and 33743 is 1.

GCF(33728,33743) = 1

We will now calculate the prime factors of 33728 and 33743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33728 and 33743.

How to find the GCF of 33728 and 33743?

We will first find the prime factorization of 33728 and 33743. After we will calculate the factors of 33728 and 33743 and find the biggest common factor number .

Step-1: Prime Factorization of 33728

Prime factors of 33728 are 2, 17, 31. Prime factorization of 33728 in exponential form is:

33728 = 2⁶ × 17¹ × 31¹

Step-2: Prime Factorization of 33743

Prime factors of 33743 are 41, 823. Prime factorization of 33743 in exponential form is:

33743 = 41¹ × 823¹

Step-3: Factors of 33728

List of positive integer factors of 33728 that divides 33728 without a remainder.

1, 2, 4, 8, 16, 17, 31, 32, 34, 62, 64, 68, 124, 136, 248, 272, 496, 527, 544, 992, 1054, 1088, 1984, 2108, 4216, 8432, 16864

Step-4: Factors of 33743

List of positive integer factors of 33743 that divides 33728 without a remainder.

1, 41, 823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33728 and 33743. The biggest common factor number is the GCF number.
So the greatest common factor 33728 and 33743 is 1.

Also check out the Least Common Multiple of 33728 and 33743