What is the Greatest Common Factor of 67269 and 67289?

Greatest common factor (GCF) of 67269 and 67289 is 1.

GCF(67269,67289) = 1

We will now calculate the prime factors of 67269 and 67289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67269 and 67289.

How to find the GCF of 67269 and 67289?

We will first find the prime factorization of 67269 and 67289. After we will calculate the factors of 67269 and 67289 and find the biggest common factor number .

Step-1: Prime Factorization of 67269

Prime factors of 67269 are 3, 17, 1319. Prime factorization of 67269 in exponential form is:

67269 = 3¹ × 17¹ × 1319¹

Step-2: Prime Factorization of 67289

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

67289 = 67289¹

Step-3: Factors of 67269

List of positive integer factors of 67269 that divides 67269 without a remainder.

1, 3, 17, 51, 1319, 3957, 22423

Step-4: Factors of 67289

List of positive integer factors of 67289 that divides 67269 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67269 and 67289. The biggest common factor number is the GCF number.
So the greatest common factor 67269 and 67289 is 1.

Also check out the Least Common Multiple of 67269 and 67289