What is the Greatest Common Factor of 33185 and 33200?

Greatest common factor (GCF) of 33185 and 33200 is 5.

GCF(33185,33200) = 5

We will now calculate the prime factors of 33185 and 33200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33185 and 33200.

How to find the GCF of 33185 and 33200?

We will first find the prime factorization of 33185 and 33200. After we will calculate the factors of 33185 and 33200 and find the biggest common factor number .

Step-1: Prime Factorization of 33185

Prime factors of 33185 are 5, 6637. Prime factorization of 33185 in exponential form is:

33185 = 5¹ × 6637¹

Step-2: 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-3: Factors of 33185

List of positive integer factors of 33185 that divides 33185 without a remainder.

1, 5, 6637

Step-4: Factors of 33200

List of positive integer factors of 33200 that divides 33185 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33185 and 33200. The biggest common factor number is the GCF number.
So the greatest common factor 33185 and 33200 is 5.

Also check out the Least Common Multiple of 33185 and 33200