What is the Greatest Common Factor of 72179 and 72186?

Greatest common factor (GCF) of 72179 and 72186 is 1.

GCF(72179,72186) = 1

We will now calculate the prime factors of 72179 and 72186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72179 and 72186.

How to find the GCF of 72179 and 72186?

We will first find the prime factorization of 72179 and 72186. After we will calculate the factors of 72179 and 72186 and find the biggest common factor number .

Step-1: Prime Factorization of 72179

Prime factors of 72179 are 89, 811. Prime factorization of 72179 in exponential form is:

72179 = 89¹ × 811¹

Step-2: 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-3: Factors of 72179

List of positive integer factors of 72179 that divides 72179 without a remainder.

1, 89, 811

Step-4: Factors of 72186

List of positive integer factors of 72186 that divides 72179 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72179 and 72186. The biggest common factor number is the GCF number.
So the greatest common factor 72179 and 72186 is 1.

Also check out the Least Common Multiple of 72179 and 72186