What is the Greatest Common Factor of 67289 and 67293?

Greatest common factor (GCF) of 67289 and 67293 is 1.

GCF(67289,67293) = 1

We will now calculate the prime factors of 67289 and 67293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67289 and 67293.

How to find the GCF of 67289 and 67293?

We will first find the prime factorization of 67289 and 67293. After we will calculate the factors of 67289 and 67293 and find the biggest common factor number .

Step-1: Prime Factorization of 67289

Prime factors of 67289 are 67289. Prime factorization of 67289 in exponential form is:

67289 = 67289¹

Step-2: Prime Factorization of 67293

Prime factors of 67293 are 3, 7477. Prime factorization of 67293 in exponential form is:

67293 = 3² × 7477¹

Step-3: Factors of 67289

List of positive integer factors of 67289 that divides 67289 without a remainder.

Step-4: Factors of 67293

List of positive integer factors of 67293 that divides 67289 without a remainder.

1, 3, 9, 7477, 22431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67289 and 67293. The biggest common factor number is the GCF number.
So the greatest common factor 67289 and 67293 is 1.

Also check out the Least Common Multiple of 67289 and 67293