What is the Greatest Common Factor of 33759 and 33771?

Greatest common factor (GCF) of 33759 and 33771 is 3.

GCF(33759,33771) = 3

We will now calculate the prime factors of 33759 and 33771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33759 and 33771.

How to find the GCF of 33759 and 33771?

We will first find the prime factorization of 33759 and 33771. After we will calculate the factors of 33759 and 33771 and find the biggest common factor number .

Step-1: Prime Factorization of 33759

Prime factors of 33759 are 3, 11, 31. Prime factorization of 33759 in exponential form is:

33759 = 3² × 11² × 31¹

Step-2: Prime Factorization of 33771

Prime factors of 33771 are 3, 11257. Prime factorization of 33771 in exponential form is:

33771 = 3¹ × 11257¹

Step-3: Factors of 33759

List of positive integer factors of 33759 that divides 33759 without a remainder.

1, 3, 9, 11, 31, 33, 93, 99, 121, 279, 341, 363, 1023, 1089, 3069, 3751, 11253

Step-4: Factors of 33771

List of positive integer factors of 33771 that divides 33759 without a remainder.

1, 3, 11257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33759 and 33771. The biggest common factor number is the GCF number.
So the greatest common factor 33759 and 33771 is 3.

Also check out the Least Common Multiple of 33759 and 33771