What is the Greatest Common Factor of 67185 and 67191?

Greatest common factor (GCF) of 67185 and 67191 is 3.

GCF(67185,67191) = 3

We will now calculate the prime factors of 67185 and 67191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67185 and 67191.

How to find the GCF of 67185 and 67191?

We will first find the prime factorization of 67185 and 67191. After we will calculate the factors of 67185 and 67191 and find the biggest common factor number .

Step-1: Prime Factorization of 67185

Prime factors of 67185 are 3, 5, 1493. Prime factorization of 67185 in exponential form is:

67185 = 3² × 5¹ × 1493¹

Step-2: Prime Factorization of 67191

Prime factors of 67191 are 3, 22397. Prime factorization of 67191 in exponential form is:

67191 = 3¹ × 22397¹

Step-3: Factors of 67185

List of positive integer factors of 67185 that divides 67185 without a remainder.

1, 3, 5, 9, 15, 45, 1493, 4479, 7465, 13437, 22395

Step-4: Factors of 67191

List of positive integer factors of 67191 that divides 67185 without a remainder.

1, 3, 22397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67185 and 67191. The biggest common factor number is the GCF number.
So the greatest common factor 67185 and 67191 is 3.

Also check out the Least Common Multiple of 67185 and 67191