What is the Greatest Common Factor of 82133 and 82149?

Greatest common factor (GCF) of 82133 and 82149 is 1.

GCF(82133,82149) = 1

We will now calculate the prime factors of 82133 and 82149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82133 and 82149.

How to find the GCF of 82133 and 82149?

We will first find the prime factorization of 82133 and 82149. After we will calculate the factors of 82133 and 82149 and find the biggest common factor number .

Step-1: Prime Factorization of 82133

Prime factors of 82133 are 23, 3571. Prime factorization of 82133 in exponential form is:

82133 = 23¹ × 3571¹

Step-2: Prime Factorization of 82149

Prime factors of 82149 are 3, 139, 197. Prime factorization of 82149 in exponential form is:

82149 = 3¹ × 139¹ × 197¹

Step-3: Factors of 82133

List of positive integer factors of 82133 that divides 82133 without a remainder.

1, 23, 3571

Step-4: Factors of 82149

List of positive integer factors of 82149 that divides 82133 without a remainder.

1, 3, 139, 197, 417, 591, 27383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82133 and 82149. The biggest common factor number is the GCF number.
So the greatest common factor 82133 and 82149 is 1.

Also check out the Least Common Multiple of 82133 and 82149