What is the Greatest Common Factor of 33773 and 33789?

Greatest common factor (GCF) of 33773 and 33789 is 1.

GCF(33773,33789) = 1

We will now calculate the prime factors of 33773 and 33789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33773 and 33789.

How to find the GCF of 33773 and 33789?

We will first find the prime factorization of 33773 and 33789. After we will calculate the factors of 33773 and 33789 and find the biggest common factor number .

Step-1: Prime Factorization of 33773

Prime factors of 33773 are 33773. Prime factorization of 33773 in exponential form is:

33773 = 33773¹

Step-2: Prime Factorization of 33789

Prime factors of 33789 are 3, 7, 1609. Prime factorization of 33789 in exponential form is:

33789 = 3¹ × 7¹ × 1609¹

Step-3: Factors of 33773

List of positive integer factors of 33773 that divides 33773 without a remainder.

Step-4: Factors of 33789

List of positive integer factors of 33789 that divides 33773 without a remainder.

1, 3, 7, 21, 1609, 4827, 11263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33773 and 33789. The biggest common factor number is the GCF number.
So the greatest common factor 33773 and 33789 is 1.

Also check out the Least Common Multiple of 33773 and 33789