What is the Greatest Common Factor of 67185 and 67197?

Greatest common factor (GCF) of 67185 and 67197 is 3.

GCF(67185,67197) = 3

We will now calculate the prime factors of 67185 and 67197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67185 and 67197.

How to find the GCF of 67185 and 67197?

We will first find the prime factorization of 67185 and 67197. After we will calculate the factors of 67185 and 67197 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 67197

Prime factors of 67197 are 3, 13, 1723. Prime factorization of 67197 in exponential form is:

67197 = 3¹ × 13¹ × 1723¹

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 67197

List of positive integer factors of 67197 that divides 67185 without a remainder.

1, 3, 13, 39, 1723, 5169, 22399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67185 and 67197. The biggest common factor number is the GCF number.
So the greatest common factor 67185 and 67197 is 3.

Also check out the Least Common Multiple of 67185 and 67197