What is the Greatest Common Factor of 84271 and 84289?

Greatest common factor (GCF) of 84271 and 84289 is 1.

GCF(84271,84289) = 1

We will now calculate the prime factors of 84271 and 84289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84271 and 84289.

How to find the GCF of 84271 and 84289?

We will first find the prime factorization of 84271 and 84289. After we will calculate the factors of 84271 and 84289 and find the biggest common factor number .

Step-1: Prime Factorization of 84271

Prime factors of 84271 are 11, 47, 163. Prime factorization of 84271 in exponential form is:

84271 = 11¹ × 47¹ × 163¹

Step-2: Prime Factorization of 84289

Prime factors of 84289 are 31, 2719. Prime factorization of 84289 in exponential form is:

84289 = 31¹ × 2719¹

Step-3: Factors of 84271

List of positive integer factors of 84271 that divides 84271 without a remainder.

1, 11, 47, 163, 517, 1793, 7661

Step-4: Factors of 84289

List of positive integer factors of 84289 that divides 84271 without a remainder.

1, 31, 2719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84271 and 84289. The biggest common factor number is the GCF number.
So the greatest common factor 84271 and 84289 is 1.

Also check out the Least Common Multiple of 84271 and 84289