What is the Greatest Common Factor of 67185 and 67204?

Greatest common factor (GCF) of 67185 and 67204 is 1.

GCF(67185,67204) = 1

We will now calculate the prime factors of 67185 and 67204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67185 and 67204.

How to find the GCF of 67185 and 67204?

We will first find the prime factorization of 67185 and 67204. After we will calculate the factors of 67185 and 67204 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 67204

Prime factors of 67204 are 2, 53, 317. Prime factorization of 67204 in exponential form is:

67204 = 2² × 53¹ × 317¹

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 67204

List of positive integer factors of 67204 that divides 67185 without a remainder.

1, 2, 4, 53, 106, 212, 317, 634, 1268, 16801, 33602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67185 and 67204. The biggest common factor number is the GCF number.
So the greatest common factor 67185 and 67204 is 1.

Also check out the Least Common Multiple of 67185 and 67204