What is the Greatest Common Factor of 72186 and 72201?

Greatest common factor (GCF) of 72186 and 72201 is 3.

GCF(72186,72201) = 3

We will now calculate the prime factors of 72186 and 72201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72186 and 72201.

How to find the GCF of 72186 and 72201?

We will first find the prime factorization of 72186 and 72201. After we will calculate the factors of 72186 and 72201 and find the biggest common factor number .

Step-1: Prime Factorization of 72186

Prime factors of 72186 are 2, 3, 53, 227. Prime factorization of 72186 in exponential form is:

72186 = 2¹ × 3¹ × 53¹ × 227¹

Step-2: Prime Factorization of 72201

Prime factors of 72201 are 3, 41, 587. Prime factorization of 72201 in exponential form is:

72201 = 3¹ × 41¹ × 587¹

Step-3: Factors of 72186

List of positive integer factors of 72186 that divides 72186 without a remainder.

1, 2, 3, 6, 53, 106, 159, 227, 318, 454, 681, 1362, 12031, 24062, 36093

Step-4: Factors of 72201

List of positive integer factors of 72201 that divides 72186 without a remainder.

1, 3, 41, 123, 587, 1761, 24067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72186 and 72201. The biggest common factor number is the GCF number.
So the greatest common factor 72186 and 72201 is 3.

Also check out the Least Common Multiple of 72186 and 72201