What is the Greatest Common Factor of 33745 and 33764?

Greatest common factor (GCF) of 33745 and 33764 is 1.

GCF(33745,33764) = 1

We will now calculate the prime factors of 33745 and 33764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33745 and 33764.

How to find the GCF of 33745 and 33764?

We will first find the prime factorization of 33745 and 33764. After we will calculate the factors of 33745 and 33764 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33764

Prime factors of 33764 are 2, 23, 367. Prime factorization of 33764 in exponential form is:

33764 = 2² × 23¹ × 367¹

Step-3: Factors of 33745

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

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

Step-4: Factors of 33764

List of positive integer factors of 33764 that divides 33745 without a remainder.

1, 2, 4, 23, 46, 92, 367, 734, 1468, 8441, 16882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33745 and 33764. The biggest common factor number is the GCF number.
So the greatest common factor 33745 and 33764 is 1.

Also check out the Least Common Multiple of 33745 and 33764