What is the Greatest Common Factor of 36166 and 36172?

Greatest common factor (GCF) of 36166 and 36172 is 2.

GCF(36166,36172) = 2

We will now calculate the prime factors of 36166 and 36172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36166 and 36172.

How to find the GCF of 36166 and 36172?

We will first find the prime factorization of 36166 and 36172. After we will calculate the factors of 36166 and 36172 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36172

Prime factors of 36172 are 2, 9043. Prime factorization of 36172 in exponential form is:

36172 = 2² × 9043¹

Step-3: Factors of 36166

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

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

Step-4: Factors of 36172

List of positive integer factors of 36172 that divides 36166 without a remainder.

1, 2, 4, 9043, 18086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36166 and 36172. The biggest common factor number is the GCF number.
So the greatest common factor 36166 and 36172 is 2.

Also check out the Least Common Multiple of 36166 and 36172