What is the Greatest Common Factor of 82271 and 82287?

Greatest common factor (GCF) of 82271 and 82287 is 1.

GCF(82271,82287) = 1

We will now calculate the prime factors of 82271 and 82287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82271 and 82287.

How to find the GCF of 82271 and 82287?

We will first find the prime factorization of 82271 and 82287. After we will calculate the factors of 82271 and 82287 and find the biggest common factor number .

Step-1: Prime Factorization of 82271

Prime factors of 82271 are 7, 23, 73. Prime factorization of 82271 in exponential form is:

82271 = 7² × 23¹ × 73¹

Step-2: Prime Factorization of 82287

Prime factors of 82287 are 3, 41, 223. Prime factorization of 82287 in exponential form is:

82287 = 3² × 41¹ × 223¹

Step-3: Factors of 82271

List of positive integer factors of 82271 that divides 82271 without a remainder.

1, 7, 23, 49, 73, 161, 511, 1127, 1679, 3577, 11753

Step-4: Factors of 82287

List of positive integer factors of 82287 that divides 82271 without a remainder.

1, 3, 9, 41, 123, 223, 369, 669, 2007, 9143, 27429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82271 and 82287. The biggest common factor number is the GCF number.
So the greatest common factor 82271 and 82287 is 1.

Also check out the Least Common Multiple of 82271 and 82287