What is the Greatest Common Factor of 72186 and 72190?

Greatest common factor (GCF) of 72186 and 72190 is 2.

GCF(72186,72190) = 2

We will now calculate the prime factors of 72186 and 72190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72186 and 72190.

How to find the GCF of 72186 and 72190?

We will first find the prime factorization of 72186 and 72190. After we will calculate the factors of 72186 and 72190 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 72190

Prime factors of 72190 are 2, 5, 7219. Prime factorization of 72190 in exponential form is:

72190 = 2¹ × 5¹ × 7219¹

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 72190

List of positive integer factors of 72190 that divides 72186 without a remainder.

1, 2, 5, 10, 7219, 14438, 36095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72186 and 72190. The biggest common factor number is the GCF number.
So the greatest common factor 72186 and 72190 is 2.

Also check out the Least Common Multiple of 72186 and 72190