What is the Greatest Common Factor of 33200 and 33206?

Greatest common factor (GCF) of 33200 and 33206 is 2.

GCF(33200,33206) = 2

We will now calculate the prime factors of 33200 and 33206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33200 and 33206.

How to find the GCF of 33200 and 33206?

We will first find the prime factorization of 33200 and 33206. After we will calculate the factors of 33200 and 33206 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 33206

Prime factors of 33206 are 2, 16603. Prime factorization of 33206 in exponential form is:

33206 = 2¹ × 16603¹

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 33206

List of positive integer factors of 33206 that divides 33200 without a remainder.

1, 2, 16603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33200 and 33206. The biggest common factor number is the GCF number.
So the greatest common factor 33200 and 33206 is 2.

Also check out the Least Common Multiple of 33200 and 33206