What is the Greatest Common Factor of 36146 and 36166?

Greatest common factor (GCF) of 36146 and 36166 is 2.

GCF(36146,36166) = 2

We will now calculate the prime factors of 36146 and 36166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36146 and 36166.

How to find the GCF of 36146 and 36166?

We will first find the prime factorization of 36146 and 36166. After we will calculate the factors of 36146 and 36166 and find the biggest common factor number .

Step-1: Prime Factorization of 36146

Prime factors of 36146 are 2, 11, 31, 53. Prime factorization of 36146 in exponential form is:

36146 = 2¹ × 11¹ × 31¹ × 53¹

Step-2: Prime Factorization of 36166

Prime factors of 36166 are 2, 13, 107. Prime factorization of 36166 in exponential form is:

36166 = 2¹ × 13² × 107¹

Step-3: Factors of 36146

List of positive integer factors of 36146 that divides 36146 without a remainder.

1, 2, 11, 22, 31, 53, 62, 106, 341, 583, 682, 1166, 1643, 3286, 18073

Step-4: Factors of 36166

List of positive integer factors of 36166 that divides 36146 without a remainder.

1, 2, 13, 26, 107, 169, 214, 338, 1391, 2782, 18083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36146 and 36166. The biggest common factor number is the GCF number.
So the greatest common factor 36146 and 36166 is 2.

Also check out the Least Common Multiple of 36146 and 36166