What is the Greatest Common Factor of 36172 and 36186?

Greatest common factor (GCF) of 36172 and 36186 is 2.

GCF(36172,36186) = 2

We will now calculate the prime factors of 36172 and 36186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36172 and 36186.

How to find the GCF of 36172 and 36186?

We will first find the prime factorization of 36172 and 36186. After we will calculate the factors of 36172 and 36186 and find the biggest common factor number .

Step-1: Prime Factorization of 36172

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

36172 = 2² × 9043¹

Step-2: Prime Factorization of 36186

Prime factors of 36186 are 2, 3, 37, 163. Prime factorization of 36186 in exponential form is:

36186 = 2¹ × 3¹ × 37¹ × 163¹

Step-3: Factors of 36172

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

1, 2, 4, 9043, 18086

Step-4: Factors of 36186

List of positive integer factors of 36186 that divides 36172 without a remainder.

1, 2, 3, 6, 37, 74, 111, 163, 222, 326, 489, 978, 6031, 12062, 18093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36172 and 36186. The biggest common factor number is the GCF number.
So the greatest common factor 36172 and 36186 is 2.

Also check out the Least Common Multiple of 36172 and 36186