What is the Greatest Common Factor of 33184 and 33196?

Greatest common factor (GCF) of 33184 and 33196 is 4.

GCF(33184,33196) = 4

We will now calculate the prime factors of 33184 and 33196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33184 and 33196.

How to find the GCF of 33184 and 33196?

We will first find the prime factorization of 33184 and 33196. After we will calculate the factors of 33184 and 33196 and find the biggest common factor number .

Step-1: Prime Factorization of 33184

Prime factors of 33184 are 2, 17, 61. Prime factorization of 33184 in exponential form is:

33184 = 2⁵ × 17¹ × 61¹

Step-2: Prime Factorization of 33196

Prime factors of 33196 are 2, 43, 193. Prime factorization of 33196 in exponential form is:

33196 = 2² × 43¹ × 193¹

Step-3: Factors of 33184

List of positive integer factors of 33184 that divides 33184 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 61, 68, 122, 136, 244, 272, 488, 544, 976, 1037, 1952, 2074, 4148, 8296, 16592

Step-4: Factors of 33196

List of positive integer factors of 33196 that divides 33184 without a remainder.

1, 2, 4, 43, 86, 172, 193, 386, 772, 8299, 16598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33184 and 33196. The biggest common factor number is the GCF number.
So the greatest common factor 33184 and 33196 is 4.

Also check out the Least Common Multiple of 33184 and 33196