What is the Greatest Common Factor of 10149 and 10166?

Greatest common factor (GCF) of 10149 and 10166 is 17.

GCF(10149,10166) = 17

We will now calculate the prime factors of 10149 and 10166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10149 and 10166.

How to find the GCF of 10149 and 10166?

We will first find the prime factorization of 10149 and 10166. After we will calculate the factors of 10149 and 10166 and find the biggest common factor number .

Step-1: Prime Factorization of 10149

Prime factors of 10149 are 3, 17, 199. Prime factorization of 10149 in exponential form is:

10149 = 3¹ × 17¹ × 199¹

Step-2: 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-3: Factors of 10149

List of positive integer factors of 10149 that divides 10149 without a remainder.

1, 3, 17, 51, 199, 597, 3383

Step-4: Factors of 10166

List of positive integer factors of 10166 that divides 10149 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10149 and 10166. The biggest common factor number is the GCF number.
So the greatest common factor 10149 and 10166 is 17.

Also check out the Least Common Multiple of 10149 and 10166