What is the Greatest Common Factor of 33743 and 33749?

Greatest common factor (GCF) of 33743 and 33749 is 1.

GCF(33743,33749) = 1

We will now calculate the prime factors of 33743 and 33749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33743 and 33749.

How to find the GCF of 33743 and 33749?

We will first find the prime factorization of 33743 and 33749. After we will calculate the factors of 33743 and 33749 and find the biggest common factor number .

Step-1: Prime Factorization of 33743

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

33743 = 41¹ × 823¹

Step-2: Prime Factorization of 33749

Prime factors of 33749 are 33749. Prime factorization of 33749 in exponential form is:

33749 = 33749¹

Step-3: Factors of 33743

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

1, 41, 823

Step-4: Factors of 33749

List of positive integer factors of 33749 that divides 33743 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33743 and 33749. The biggest common factor number is the GCF number.
So the greatest common factor 33743 and 33749 is 1.

Also check out the Least Common Multiple of 33743 and 33749