What is the Greatest Common Factor of 33745 and 33757?

Greatest common factor (GCF) of 33745 and 33757 is 1.

GCF(33745,33757) = 1

We will now calculate the prime factors of 33745 and 33757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33745 and 33757.

How to find the GCF of 33745 and 33757?

We will first find the prime factorization of 33745 and 33757. After we will calculate the factors of 33745 and 33757 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 33757

Prime factors of 33757 are 33757. Prime factorization of 33757 in exponential form is:

33757 = 33757¹

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 33757

List of positive integer factors of 33757 that divides 33745 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33745 and 33757. The biggest common factor number is the GCF number.
So the greatest common factor 33745 and 33757 is 1.

Also check out the Least Common Multiple of 33745 and 33757