What is the Greatest Common Factor of 67212 and 67227?

Greatest common factor (GCF) of 67212 and 67227 is 3.

GCF(67212,67227) = 3

We will now calculate the prime factors of 67212 and 67227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67212 and 67227.

How to find the GCF of 67212 and 67227?

We will first find the prime factorization of 67212 and 67227. After we will calculate the factors of 67212 and 67227 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67227

Prime factors of 67227 are 3, 22409. Prime factorization of 67227 in exponential form is:

67227 = 3¹ × 22409¹

Step-3: Factors of 67212

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

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

Step-4: Factors of 67227

List of positive integer factors of 67227 that divides 67212 without a remainder.

1, 3, 22409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67212 and 67227. The biggest common factor number is the GCF number.
So the greatest common factor 67212 and 67227 is 3.

Also check out the Least Common Multiple of 67212 and 67227