What is the Greatest Common Factor of 36180 and 36194?

Greatest common factor (GCF) of 36180 and 36194 is 2.

GCF(36180,36194) = 2

We will now calculate the prime factors of 36180 and 36194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36180 and 36194.

How to find the GCF of 36180 and 36194?

We will first find the prime factorization of 36180 and 36194. After we will calculate the factors of 36180 and 36194 and find the biggest common factor number .

Step-1: Prime Factorization of 36180

Prime factors of 36180 are 2, 3, 5, 67. Prime factorization of 36180 in exponential form is:

36180 = 2² × 3³ × 5¹ × 67¹

Step-2: Prime Factorization of 36194

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

36194 = 2¹ × 18097¹

Step-3: Factors of 36180

List of positive integer factors of 36180 that divides 36180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 67, 90, 108, 134, 135, 180, 201, 268, 270, 335, 402, 540, 603, 670, 804, 1005, 1206, 1340, 1809, 2010, 2412, 3015, 3618, 4020, 6030, 7236, 9045, 12060, 18090

Step-4: Factors of 36194

List of positive integer factors of 36194 that divides 36180 without a remainder.

1, 2, 18097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36180 and 36194. The biggest common factor number is the GCF number.
So the greatest common factor 36180 and 36194 is 2.

Also check out the Least Common Multiple of 36180 and 36194