What is the Greatest Common Factor of 72365 and 72382?

Greatest common factor (GCF) of 72365 and 72382 is 1.

GCF(72365,72382) = 1

We will now calculate the prime factors of 72365 and 72382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72365 and 72382.

How to find the GCF of 72365 and 72382?

We will first find the prime factorization of 72365 and 72382. After we will calculate the factors of 72365 and 72382 and find the biggest common factor number .

Step-1: Prime Factorization of 72365

Prime factors of 72365 are 5, 41, 353. Prime factorization of 72365 in exponential form is:

72365 = 5¹ × 41¹ × 353¹

Step-2: Prime Factorization of 72382

Prime factors of 72382 are 2, 36191. Prime factorization of 72382 in exponential form is:

72382 = 2¹ × 36191¹

Step-3: Factors of 72365

List of positive integer factors of 72365 that divides 72365 without a remainder.

1, 5, 41, 205, 353, 1765, 14473

Step-4: Factors of 72382

List of positive integer factors of 72382 that divides 72365 without a remainder.

1, 2, 36191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72365 and 72382. The biggest common factor number is the GCF number.
So the greatest common factor 72365 and 72382 is 1.

Also check out the Least Common Multiple of 72365 and 72382