What is the Greatest Common Factor of 67194 and 67209?

Greatest common factor (GCF) of 67194 and 67209 is 3.

GCF(67194,67209) = 3

We will now calculate the prime factors of 67194 and 67209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67194 and 67209.

How to find the GCF of 67194 and 67209?

We will first find the prime factorization of 67194 and 67209. After we will calculate the factors of 67194 and 67209 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67209

Prime factors of 67209 are 3, 43, 521. Prime factorization of 67209 in exponential form is:

67209 = 3¹ × 43¹ × 521¹

Step-3: Factors of 67194

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

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

Step-4: Factors of 67209

List of positive integer factors of 67209 that divides 67194 without a remainder.

1, 3, 43, 129, 521, 1563, 22403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67194 and 67209. The biggest common factor number is the GCF number.
So the greatest common factor 67194 and 67209 is 3.

Also check out the Least Common Multiple of 67194 and 67209