What is the Greatest Common Factor of 33775 and 33789?

Greatest common factor (GCF) of 33775 and 33789 is 7.

GCF(33775,33789) = 7

We will now calculate the prime factors of 33775 and 33789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33775 and 33789.

How to find the GCF of 33775 and 33789?

We will first find the prime factorization of 33775 and 33789. After we will calculate the factors of 33775 and 33789 and find the biggest common factor number .

Step-1: Prime Factorization of 33775

Prime factors of 33775 are 5, 7, 193. Prime factorization of 33775 in exponential form is:

33775 = 5² × 7¹ × 193¹

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 33775

List of positive integer factors of 33775 that divides 33775 without a remainder.

1, 5, 7, 25, 35, 175, 193, 965, 1351, 4825, 6755

Step-4: Factors of 33789

List of positive integer factors of 33789 that divides 33775 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33775 and 33789. The biggest common factor number is the GCF number.
So the greatest common factor 33775 and 33789 is 7.

Also check out the Least Common Multiple of 33775 and 33789