What is the Greatest Common Factor of 82149 and 82161?

Greatest common factor (GCF) of 82149 and 82161 is 3.

GCF(82149,82161) = 3

We will now calculate the prime factors of 82149 and 82161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82149 and 82161.

How to find the GCF of 82149 and 82161?

We will first find the prime factorization of 82149 and 82161. After we will calculate the factors of 82149 and 82161 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 82161

Prime factors of 82161 are 3, 17, 179. Prime factorization of 82161 in exponential form is:

82161 = 3³ × 17¹ × 179¹

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 82161

List of positive integer factors of 82161 that divides 82149 without a remainder.

1, 3, 9, 17, 27, 51, 153, 179, 459, 537, 1611, 3043, 4833, 9129, 27387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82149 and 82161. The biggest common factor number is the GCF number.
So the greatest common factor 82149 and 82161 is 3.

Also check out the Least Common Multiple of 82149 and 82161