What is the Greatest Common Factor of 66174 and 66188?

Greatest common factor (GCF) of 66174 and 66188 is 2.

GCF(66174,66188) = 2

We will now calculate the prime factors of 66174 and 66188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66174 and 66188.

How to find the GCF of 66174 and 66188?

We will first find the prime factorization of 66174 and 66188. After we will calculate the factors of 66174 and 66188 and find the biggest common factor number .

Step-1: Prime Factorization of 66174

Prime factors of 66174 are 2, 3, 41, 269. Prime factorization of 66174 in exponential form is:

66174 = 2¹ × 3¹ × 41¹ × 269¹

Step-2: Prime Factorization of 66188

Prime factors of 66188 are 2, 16547. Prime factorization of 66188 in exponential form is:

66188 = 2² × 16547¹

Step-3: Factors of 66174

List of positive integer factors of 66174 that divides 66174 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 269, 538, 807, 1614, 11029, 22058, 33087

Step-4: Factors of 66188

List of positive integer factors of 66188 that divides 66174 without a remainder.

1, 2, 4, 16547, 33094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66174 and 66188. The biggest common factor number is the GCF number.
So the greatest common factor 66174 and 66188 is 2.

Also check out the Least Common Multiple of 66174 and 66188