What is the Greatest Common Factor of 36194 and 36200?

Greatest common factor (GCF) of 36194 and 36200 is 2.

GCF(36194,36200) = 2

We will now calculate the prime factors of 36194 and 36200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36194 and 36200.

How to find the GCF of 36194 and 36200?

We will first find the prime factorization of 36194 and 36200. After we will calculate the factors of 36194 and 36200 and find the biggest common factor number .

Step-1: Prime Factorization of 36194

Prime factors of 36194 are 2, 18097. Prime factorization of 36194 in exponential form is:

36194 = 2¹ × 18097¹

Step-2: Prime Factorization of 36200

Prime factors of 36200 are 2, 5, 181. Prime factorization of 36200 in exponential form is:

36200 = 2³ × 5² × 181¹

Step-3: Factors of 36194

List of positive integer factors of 36194 that divides 36194 without a remainder.

1, 2, 18097

Step-4: Factors of 36200

List of positive integer factors of 36200 that divides 36194 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 181, 200, 362, 724, 905, 1448, 1810, 3620, 4525, 7240, 9050, 18100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36194 and 36200. The biggest common factor number is the GCF number.
So the greatest common factor 36194 and 36200 is 2.

Also check out the Least Common Multiple of 36194 and 36200