What is the Greatest Common Factor of 81201 and 81217?

Greatest common factor (GCF) of 81201 and 81217 is 1.

GCF(81201,81217) = 1

We will now calculate the prime factors of 81201 and 81217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81201 and 81217.

How to find the GCF of 81201 and 81217?

We will first find the prime factorization of 81201 and 81217. After we will calculate the factors of 81201 and 81217 and find the biggest common factor number .

Step-1: Prime Factorization of 81201

Prime factors of 81201 are 3, 27067. Prime factorization of 81201 in exponential form is:

81201 = 3¹ × 27067¹

Step-2: Prime Factorization of 81217

Prime factors of 81217 are 241, 337. Prime factorization of 81217 in exponential form is:

81217 = 241¹ × 337¹

Step-3: Factors of 81201

List of positive integer factors of 81201 that divides 81201 without a remainder.

1, 3, 27067

Step-4: Factors of 81217

List of positive integer factors of 81217 that divides 81201 without a remainder.

1, 241, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81201 and 81217. The biggest common factor number is the GCF number.
So the greatest common factor 81201 and 81217 is 1.

Also check out the Least Common Multiple of 81201 and 81217