What is the Greatest Common Factor of 33174 and 33193?

Greatest common factor (GCF) of 33174 and 33193 is 19.

GCF(33174,33193) = 19

We will now calculate the prime factors of 33174 and 33193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33174 and 33193.

How to find the GCF of 33174 and 33193?

We will first find the prime factorization of 33174 and 33193. After we will calculate the factors of 33174 and 33193 and find the biggest common factor number .

Step-1: Prime Factorization of 33174

Prime factors of 33174 are 2, 3, 19, 97. Prime factorization of 33174 in exponential form is:

33174 = 2¹ × 3² × 19¹ × 97¹

Step-2: Prime Factorization of 33193

Prime factors of 33193 are 19, 1747. Prime factorization of 33193 in exponential form is:

33193 = 19¹ × 1747¹

Step-3: Factors of 33174

List of positive integer factors of 33174 that divides 33174 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 97, 114, 171, 194, 291, 342, 582, 873, 1746, 1843, 3686, 5529, 11058, 16587

Step-4: Factors of 33193

List of positive integer factors of 33193 that divides 33174 without a remainder.

1, 19, 1747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33174 and 33193. The biggest common factor number is the GCF number.
So the greatest common factor 33174 and 33193 is 19.

Also check out the Least Common Multiple of 33174 and 33193