What is the Greatest Common Factor of 36166 and 36184?

Greatest common factor (GCF) of 36166 and 36184 is 2.

GCF(36166,36184) = 2

We will now calculate the prime factors of 36166 and 36184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36166 and 36184.

How to find the GCF of 36166 and 36184?

We will first find the prime factorization of 36166 and 36184. After we will calculate the factors of 36166 and 36184 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 36184

Prime factors of 36184 are 2, 4523. Prime factorization of 36184 in exponential form is:

36184 = 2³ × 4523¹

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 36184

List of positive integer factors of 36184 that divides 36166 without a remainder.

1, 2, 4, 8, 4523, 9046, 18092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36166 and 36184. The biggest common factor number is the GCF number.
So the greatest common factor 36166 and 36184 is 2.

Also check out the Least Common Multiple of 36166 and 36184