What is the Greatest Common Factor of 67176 and 67194?

Greatest common factor (GCF) of 67176 and 67194 is 18.

GCF(67176,67194) = 18

We will now calculate the prime factors of 67176 and 67194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67176 and 67194.

How to find the GCF of 67176 and 67194?

We will first find the prime factorization of 67176 and 67194. After we will calculate the factors of 67176 and 67194 and find the biggest common factor number .

Step-1: Prime Factorization of 67176

Prime factors of 67176 are 2, 3, 311. Prime factorization of 67176 in exponential form is:

67176 = 2³ × 3³ × 311¹

Step-2: Prime Factorization of 67194

Prime factors of 67194 are 2, 3, 3733. Prime factorization of 67194 in exponential form is:

67194 = 2¹ × 3² × 3733¹

Step-3: Factors of 67176

List of positive integer factors of 67176 that divides 67176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 311, 622, 933, 1244, 1866, 2488, 2799, 3732, 5598, 7464, 8397, 11196, 16794, 22392, 33588

Step-4: Factors of 67194

List of positive integer factors of 67194 that divides 67176 without a remainder.

1, 2, 3, 6, 9, 18, 3733, 7466, 11199, 22398, 33597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67176 and 67194. The biggest common factor number is the GCF number.
So the greatest common factor 67176 and 67194 is 18.

Also check out the Least Common Multiple of 67176 and 67194