What is the Greatest Common Factor of 33728 and 33745?

Greatest common factor (GCF) of 33728 and 33745 is 17.

GCF(33728,33745) = 17

We will now calculate the prime factors of 33728 and 33745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33728 and 33745.

How to find the GCF of 33728 and 33745?

We will first find the prime factorization of 33728 and 33745. After we will calculate the factors of 33728 and 33745 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 33745

Prime factors of 33745 are 5, 17, 397. Prime factorization of 33745 in exponential form is:

33745 = 5¹ × 17¹ × 397¹

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 33745

List of positive integer factors of 33745 that divides 33728 without a remainder.

1, 5, 17, 85, 397, 1985, 6749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33728 and 33745. The biggest common factor number is the GCF number.
So the greatest common factor 33728 and 33745 is 17.

Also check out the Least Common Multiple of 33728 and 33745