What is the Greatest Common Factor of 67194 and 67212?

Greatest common factor (GCF) of 67194 and 67212 is 18.

GCF(67194,67212) = 18

We will now calculate the prime factors of 67194 and 67212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67194 and 67212.

How to find the GCF of 67194 and 67212?

We will first find the prime factorization of 67194 and 67212. After we will calculate the factors of 67194 and 67212 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 67212

Prime factors of 67212 are 2, 3, 1867. Prime factorization of 67212 in exponential form is:

67212 = 2² × 3² × 1867¹

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 67212

List of positive integer factors of 67212 that divides 67194 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1867, 3734, 5601, 7468, 11202, 16803, 22404, 33606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67194 and 67212. The biggest common factor number is the GCF number.
So the greatest common factor 67194 and 67212 is 18.

Also check out the Least Common Multiple of 67194 and 67212