What is the Greatest Common Factor of 33200 and 33211?

Greatest common factor (GCF) of 33200 and 33211 is 1.

GCF(33200,33211) = 1

We will now calculate the prime factors of 33200 and 33211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33200 and 33211.

How to find the GCF of 33200 and 33211?

We will first find the prime factorization of 33200 and 33211. After we will calculate the factors of 33200 and 33211 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 33211

Prime factors of 33211 are 33211. Prime factorization of 33211 in exponential form is:

33211 = 33211¹

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 33211

List of positive integer factors of 33211 that divides 33200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33200 and 33211. The biggest common factor number is the GCF number.
So the greatest common factor 33200 and 33211 is 1.

Also check out the Least Common Multiple of 33200 and 33211