What is the Greatest Common Factor of 33200 and 33212?

Greatest common factor (GCF) of 33200 and 33212 is 4.

GCF(33200,33212) = 4

We will now calculate the prime factors of 33200 and 33212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33200 and 33212.

How to find the GCF of 33200 and 33212?

We will first find the prime factorization of 33200 and 33212. After we will calculate the factors of 33200 and 33212 and find the biggest common factor number .

Step-1: Prime Factorization of 33200

Prime factors of 33200 are 2, 5, 83. Prime factorization of 33200 in exponential form is:

33200 = 2⁴ × 5² × 83¹

Step-2: Prime Factorization of 33212

Prime factors of 33212 are 2, 19, 23. Prime factorization of 33212 in exponential form is:

33212 = 2² × 19² × 23¹

Step-3: Factors of 33200

List of positive integer factors of 33200 that divides 33200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 83, 100, 166, 200, 332, 400, 415, 664, 830, 1328, 1660, 2075, 3320, 4150, 6640, 8300, 16600

Step-4: Factors of 33212

List of positive integer factors of 33212 that divides 33200 without a remainder.

1, 2, 4, 19, 23, 38, 46, 76, 92, 361, 437, 722, 874, 1444, 1748, 8303, 16606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33200 and 33212. The biggest common factor number is the GCF number.
So the greatest common factor 33200 and 33212 is 4.

Also check out the Least Common Multiple of 33200 and 33212