What is the Greatest Common Factor of 33156 and 33174?

Greatest common factor (GCF) of 33156 and 33174 is 18.

GCF(33156,33174) = 18

We will now calculate the prime factors of 33156 and 33174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33156 and 33174.

How to find the GCF of 33156 and 33174?

We will first find the prime factorization of 33156 and 33174. After we will calculate the factors of 33156 and 33174 and find the biggest common factor number .

Step-1: Prime Factorization of 33156

Prime factors of 33156 are 2, 3, 307. Prime factorization of 33156 in exponential form is:

33156 = 2² × 3³ × 307¹

Step-2: 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-3: Factors of 33156

List of positive integer factors of 33156 that divides 33156 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 307, 614, 921, 1228, 1842, 2763, 3684, 5526, 8289, 11052, 16578

Step-4: Factors of 33174

List of positive integer factors of 33174 that divides 33156 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33156 and 33174. The biggest common factor number is the GCF number.
So the greatest common factor 33156 and 33174 is 18.

Also check out the Least Common Multiple of 33156 and 33174