What is the Greatest Common Factor of 82150 and 82166?

Greatest common factor (GCF) of 82150 and 82166 is 2.

GCF(82150,82166) = 2

We will now calculate the prime factors of 82150 and 82166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82150 and 82166.

How to find the GCF of 82150 and 82166?

We will first find the prime factorization of 82150 and 82166. After we will calculate the factors of 82150 and 82166 and find the biggest common factor number .

Step-1: Prime Factorization of 82150

Prime factors of 82150 are 2, 5, 31, 53. Prime factorization of 82150 in exponential form is:

82150 = 2¹ × 5² × 31¹ × 53¹

Step-2: Prime Factorization of 82166

Prime factors of 82166 are 2, 7, 5869. Prime factorization of 82166 in exponential form is:

82166 = 2¹ × 7¹ × 5869¹

Step-3: Factors of 82150

List of positive integer factors of 82150 that divides 82150 without a remainder.

1, 2, 5, 10, 25, 31, 50, 53, 62, 106, 155, 265, 310, 530, 775, 1325, 1550, 1643, 2650, 3286, 8215, 16430, 41075

Step-4: Factors of 82166

List of positive integer factors of 82166 that divides 82150 without a remainder.

1, 2, 7, 14, 5869, 11738, 41083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82150 and 82166. The biggest common factor number is the GCF number.
So the greatest common factor 82150 and 82166 is 2.

Also check out the Least Common Multiple of 82150 and 82166