What is the Greatest Common Factor of 33168 and 33174?

Greatest common factor (GCF) of 33168 and 33174 is 6.

GCF(33168,33174) = 6

We will now calculate the prime factors of 33168 and 33174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33168 and 33174.

How to find the GCF of 33168 and 33174?

We will first find the prime factorization of 33168 and 33174. After we will calculate the factors of 33168 and 33174 and find the biggest common factor number .

Step-1: Prime Factorization of 33168

Prime factors of 33168 are 2, 3, 691. Prime factorization of 33168 in exponential form is:

33168 = 2⁴ × 3¹ × 691¹

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 33168

List of positive integer factors of 33168 that divides 33168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 691, 1382, 2073, 2764, 4146, 5528, 8292, 11056, 16584

Step-4: Factors of 33174

List of positive integer factors of 33174 that divides 33168 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 33168 and 33174. The biggest common factor number is the GCF number.
So the greatest common factor 33168 and 33174 is 6.

Also check out the Least Common Multiple of 33168 and 33174