What is the Greatest Common Factor of 12172 and 12186?

Greatest common factor (GCF) of 12172 and 12186 is 2.

GCF(12172,12186) = 2

We will now calculate the prime factors of 12172 and 12186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12172 and 12186.

How to find the GCF of 12172 and 12186?

We will first find the prime factorization of 12172 and 12186. After we will calculate the factors of 12172 and 12186 and find the biggest common factor number .

Step-1: Prime Factorization of 12172

Prime factors of 12172 are 2, 17, 179. Prime factorization of 12172 in exponential form is:

12172 = 2² × 17¹ × 179¹

Step-2: Prime Factorization of 12186

Prime factors of 12186 are 2, 3, 677. Prime factorization of 12186 in exponential form is:

12186 = 2¹ × 3² × 677¹

Step-3: Factors of 12172

List of positive integer factors of 12172 that divides 12172 without a remainder.

1, 2, 4, 17, 34, 68, 179, 358, 716, 3043, 6086

Step-4: Factors of 12186

List of positive integer factors of 12186 that divides 12172 without a remainder.

1, 2, 3, 6, 9, 18, 677, 1354, 2031, 4062, 6093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12172 and 12186. The biggest common factor number is the GCF number.
So the greatest common factor 12172 and 12186 is 2.

Also check out the Least Common Multiple of 12172 and 12186