What is the Greatest Common Factor of 82271 and 82283?

Greatest common factor (GCF) of 82271 and 82283 is 1.

GCF(82271,82283) = 1

We will now calculate the prime factors of 82271 and 82283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82271 and 82283.

How to find the GCF of 82271 and 82283?

We will first find the prime factorization of 82271 and 82283. After we will calculate the factors of 82271 and 82283 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 82283

Prime factors of 82283 are 107, 769. Prime factorization of 82283 in exponential form is:

82283 = 107¹ × 769¹

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 82283

List of positive integer factors of 82283 that divides 82271 without a remainder.

1, 107, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82271 and 82283. The biggest common factor number is the GCF number.
So the greatest common factor 82271 and 82283 is 1.

Also check out the Least Common Multiple of 82271 and 82283