What is the Greatest Common Factor of 82161 and 82178?

Greatest common factor (GCF) of 82161 and 82178 is 17.

GCF(82161,82178) = 17

We will now calculate the prime factors of 82161 and 82178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82161 and 82178.

How to find the GCF of 82161 and 82178?

We will first find the prime factorization of 82161 and 82178. After we will calculate the factors of 82161 and 82178 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82178

Prime factors of 82178 are 2, 17, 2417. Prime factorization of 82178 in exponential form is:

82178 = 2¹ × 17¹ × 2417¹

Step-3: Factors of 82161

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

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

Step-4: Factors of 82178

List of positive integer factors of 82178 that divides 82161 without a remainder.

1, 2, 17, 34, 2417, 4834, 41089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82161 and 82178. The biggest common factor number is the GCF number.
So the greatest common factor 82161 and 82178 is 17.

Also check out the Least Common Multiple of 82161 and 82178