What is the Greatest Common Factor of 82149 and 82167?

Greatest common factor (GCF) of 82149 and 82167 is 3.

GCF(82149,82167) = 3

We will now calculate the prime factors of 82149 and 82167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82149 and 82167.

How to find the GCF of 82149 and 82167?

We will first find the prime factorization of 82149 and 82167. After we will calculate the factors of 82149 and 82167 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82167

Prime factors of 82167 are 3, 61, 449. Prime factorization of 82167 in exponential form is:

82167 = 3¹ × 61¹ × 449¹

Step-3: Factors of 82149

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

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

Step-4: Factors of 82167

List of positive integer factors of 82167 that divides 82149 without a remainder.

1, 3, 61, 183, 449, 1347, 27389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82149 and 82167. The biggest common factor number is the GCF number.
So the greatest common factor 82149 and 82167 is 3.

Also check out the Least Common Multiple of 82149 and 82167