What is the Greatest Common Factor of 10166 and 10183?

Greatest common factor (GCF) of 10166 and 10183 is 17.

GCF(10166,10183) = 17

We will now calculate the prime factors of 10166 and 10183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10166 and 10183.

How to find the GCF of 10166 and 10183?

We will first find the prime factorization of 10166 and 10183. After we will calculate the factors of 10166 and 10183 and find the biggest common factor number .

Step-1: Prime Factorization of 10166

Prime factors of 10166 are 2, 13, 17, 23. Prime factorization of 10166 in exponential form is:

10166 = 2¹ × 13¹ × 17¹ × 23¹

Step-2: Prime Factorization of 10183

Prime factors of 10183 are 17, 599. Prime factorization of 10183 in exponential form is:

10183 = 17¹ × 599¹

Step-3: Factors of 10166

List of positive integer factors of 10166 that divides 10166 without a remainder.

1, 2, 13, 17, 23, 26, 34, 46, 221, 299, 391, 442, 598, 782, 5083

Step-4: Factors of 10183

List of positive integer factors of 10183 that divides 10166 without a remainder.

1, 17, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10166 and 10183. The biggest common factor number is the GCF number.
So the greatest common factor 10166 and 10183 is 17.

Also check out the Least Common Multiple of 10166 and 10183